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Finding the Fourth Proportional to 157,023.87, 216,709.83 and 137,463.89

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Solution

The fourth proportional to 157,023.87, 216,709.83 and 137,463.89 is: 189,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,023.87 : 216,709.83 = 137,463.89 : x
  2. Step 2: Convert to fraction form
    157,023.87/216,709.83 = 137,463.89/x
  3. Step 3: Cross multiply
    157,023.87x = 216,709.83 × 137,463.89
  4. Step 4: Simplify right side
    157,023.87x = 29,789,775,149.49
  5. Step 5: Solve for x
    x = 29,789,775,149.49/157,023.87
  6. Step 6: Final answer
    x = 189,714.95

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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.