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Finding the Fourth Proportional to 123,457.14, 185,253.12 and 52,368.78

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Solution

The fourth proportional to 123,457.14, 185,253.12 and 52,368.78 is: 78,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,457.14 : 185,253.12 = 52,368.78 : x
  2. Step 2: Convert to fraction form
    123,457.14/185,253.12 = 52,368.78/x
  3. Step 3: Cross multiply
    123,457.14x = 185,253.12 × 52,368.78
  4. Step 4: Simplify right side
    123,457.14x = 9,701,479,885.59
  5. Step 5: Solve for x
    x = 9,701,479,885.59/123,457.14
  6. Step 6: Final answer
    x = 78,581.76

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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.