Finding the Fourth Proportional to 130,514.38, 180,106.14 and 76,787.08
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Solution
The fourth proportional to 130,514.38, 180,106.14 and 76,787.08 is: 105,963.99
Step by Step Solution
- Step 1: Write the proportion equation
130,514.38 : 180,106.14 = 76,787.08 : x - Step 2: Convert to fraction form
130,514.38/180,106.14 = 76,787.08/x - Step 3: Cross multiply
130,514.38x = 180,106.14 × 76,787.08 - Step 4: Simplify right side
130,514.38x = 13,829,824,580.67 - Step 5: Solve for x
x = 13,829,824,580.67/130,514.38 - Step 6: Final answer
x = 105,963.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.