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Finding the Fourth Proportional to 120,042.54, 165,461.13 and 85,128.84

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Solution

The fourth proportional to 120,042.54, 165,461.13 and 85,128.84 is: 117,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,042.54 : 165,461.13 = 85,128.84 : x
  2. Step 2: Convert to fraction form
    120,042.54/165,461.13 = 85,128.84/x
  3. Step 3: Cross multiply
    120,042.54x = 165,461.13 × 85,128.84
  4. Step 4: Simplify right side
    120,042.54x = 14,085,514,061.99
  5. Step 5: Solve for x
    x = 14,085,514,061.99/120,042.54
  6. Step 6: Final answer
    x = 117,337.69

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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.