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Finding the Fourth Proportional to 73,935.70, 102,049.40 and 42,123.36

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Solution

The fourth proportional to 73,935.70, 102,049.40 and 42,123.36 is: 58,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,935.70 : 102,049.40 = 42,123.36 : x
  2. Step 2: Convert to fraction form
    73,935.70/102,049.40 = 42,123.36/x
  3. Step 3: Cross multiply
    73,935.70x = 102,049.40 × 42,123.36
  4. Step 4: Simplify right side
    73,935.70x = 4,298,663,613.98
  5. Step 5: Solve for x
    x = 4,298,663,613.98/73,935.70
  6. Step 6: Final answer
    x = 58,140.57

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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.