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Finding the Fourth Proportional to 73,657, 101,646.78 and 40,123

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Solution

The fourth proportional to 73,657, 101,646.78 and 40,123 is: 55,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,657 : 101,646.78 = 40,123 : x
  2. Step 2: Convert to fraction form
    73,657/101,646.78 = 40,123/x
  3. Step 3: Cross multiply
    73,657x = 101,646.78 × 40,123
  4. Step 4: Simplify right side
    73,657x = 4,078,373,753.94
  5. Step 5: Solve for x
    x = 4,078,373,753.94/73,657
  6. Step 6: Final answer
    x = 55,369.81

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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.