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Finding the Fourth Proportional to 157,123.55, 216,835.02 and 85,508.11

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Solution

The fourth proportional to 157,123.55, 216,835.02 and 85,508.11 is: 118,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,123.55 : 216,835.02 = 85,508.11 : x
  2. Step 2: Convert to fraction form
    157,123.55/216,835.02 = 85,508.11/x
  3. Step 3: Cross multiply
    157,123.55x = 216,835.02 × 85,508.11
  4. Step 4: Simplify right side
    157,123.55x = 18,541,152,742.01
  5. Step 5: Solve for x
    x = 18,541,152,742.01/157,123.55
  6. Step 6: Final answer
    x = 118,003.65

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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.