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Finding the Fourth Proportional to 138,735.98, 208,095.42 and 85,438.11

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Solution

The fourth proportional to 138,735.98, 208,095.42 and 85,438.11 is: 128,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,735.98 : 208,095.42 = 85,438.11 : x
  2. Step 2: Convert to fraction form
    138,735.98/208,095.42 = 85,438.11/x
  3. Step 3: Cross multiply
    138,735.98x = 208,095.42 × 85,438.11
  4. Step 4: Simplify right side
    138,735.98x = 17,779,279,384.46
  5. Step 5: Solve for x
    x = 17,779,279,384.46/138,735.98
  6. Step 6: Final answer
    x = 128,151.90

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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.