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Finding the Fourth Proportional to 128,814.60, 193,221.90 and 57,737.10

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Solution

The fourth proportional to 128,814.60, 193,221.90 and 57,737.10 is: 86,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,814.60 : 193,221.90 = 57,737.10 : x
  2. Step 2: Convert to fraction form
    128,814.60/193,221.90 = 57,737.10/x
  3. Step 3: Cross multiply
    128,814.60x = 193,221.90 × 57,737.10
  4. Step 4: Simplify right side
    128,814.60x = 11,156,072,162.49
  5. Step 5: Solve for x
    x = 11,156,072,162.49/128,814.60
  6. Step 6: Final answer
    x = 86,605.65

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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.