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Finding the Fourth Proportional to 137,905.68, 206,753.28 and 71,303.29

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Solution

The fourth proportional to 137,905.68, 206,753.28 and 71,303.29 is: 106,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,905.68 : 206,753.28 = 71,303.29 : x
  2. Step 2: Convert to fraction form
    137,905.68/206,753.28 = 71,303.29/x
  3. Step 3: Cross multiply
    137,905.68x = 206,753.28 × 71,303.29
  4. Step 4: Simplify right side
    137,905.68x = 14,742,189,082.29
  5. Step 5: Solve for x
    x = 14,742,189,082.29/137,905.68
  6. Step 6: Final answer
    x = 106,900.52

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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.