Finding the Fourth Proportional to 118,109,386.20, 177,164,079.30 and 106,205,107.80
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Solution
The fourth proportional to 118,109,386.20, 177,164,079.30 and 106,205,107.80 is: 159,307,661.70
Step by Step Solution
- Step 1: Write the proportion equation
118,109,386.20 : 177,164,079.30 = 106,205,107.80 : x - Step 2: Convert to fraction form
118,109,386.20/177,164,079.30 = 106,205,107.80/x - Step 3: Cross multiply
118,109,386.20x = 177,164,079.30 × 106,205,107.80 - Step 4: Simplify right side
118,109,386.20x = 18,815,730,140,344,248 - Step 5: Solve for x
x = 18,815,730,140,344,248/118,109,386.20 - Step 6: Final answer
x = 159,307,661.70
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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.