Finding the Fourth Proportional to 121,164,403,488.73, 181,746,605,245.61 and 40,490,106,877.08
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Solution
The fourth proportional to 121,164,403,488.73, 181,746,605,245.61 and 40,490,106,877.08 is: 60,735,160,319.81
Step by Step Solution
- Step 1: Write the proportion equation
121,164,403,488.73 : 181,746,605,245.61 = 40,490,106,877.08 : x - Step 2: Convert to fraction form
121,164,403,488.73/181,746,605,245.61 = 40,490,106,877.08/x - Step 3: Cross multiply
121,164,403,488.73x = 181,746,605,245.61 × 40,490,106,877.08 - Step 4: Simplify right side
121,164,403,488.73x = 7,358,939,470,941,580,689,408 - Step 5: Solve for x
x = 7,358,939,470,941,580,689,408/121,164,403,488.73 - Step 6: Final answer
x = 60,735,160,319.81
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.