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Finding the Fourth Proportional to 157,128.07, 216,836.32 and 85,508.07

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Solution

The fourth proportional to 157,128.07, 216,836.32 and 85,508.07 is: 118,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,128.07 : 216,836.32 = 85,508.07 : x
  2. Step 2: Convert to fraction form
    157,128.07/216,836.32 = 85,508.07/x
  3. Step 3: Cross multiply
    157,128.07x = 216,836.32 × 85,508.07
  4. Step 4: Simplify right side
    157,128.07x = 18,541,255,229.10
  5. Step 5: Solve for x
    x = 18,541,255,229.10/157,128.07
  6. Step 6: Final answer
    x = 118,000.91

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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.