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Finding the Fourth Proportional to 138,358.64, 207,538.02 and 106,814.77

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Solution

The fourth proportional to 138,358.64, 207,538.02 and 106,814.77 is: 160,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,358.64 : 207,538.02 = 106,814.77 : x
  2. Step 2: Convert to fraction form
    138,358.64/207,538.02 = 106,814.77/x
  3. Step 3: Cross multiply
    138,358.64x = 207,538.02 × 106,814.77
  4. Step 4: Simplify right side
    138,358.64x = 22,168,125,353.71
  5. Step 5: Solve for x
    x = 22,168,125,353.71/138,358.64
  6. Step 6: Final answer
    x = 160,222.19

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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.