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Finding the Fourth Proportional to 137,324.96, 189,508.96 and 76,898.24

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Solution

The fourth proportional to 137,324.96, 189,508.96 and 76,898.24 is: 106,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,324.96 : 189,508.96 = 76,898.24 : x
  2. Step 2: Convert to fraction form
    137,324.96/189,508.96 = 76,898.24/x
  3. Step 3: Cross multiply
    137,324.96x = 189,508.96 × 76,898.24
  4. Step 4: Simplify right side
    137,324.96x = 14,572,905,488.23
  5. Step 5: Solve for x
    x = 14,572,905,488.23/137,324.96
  6. Step 6: Final answer
    x = 106,119.86

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1.5x scale

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.