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Finding the Fourth Proportional to 123,712, 185,322.24 and 61,191.68

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Solution

The fourth proportional to 123,712, 185,322.24 and 61,191.68 is: 91,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,712 : 185,322.24 = 61,191.68 : x
  2. Step 2: Convert to fraction form
    123,712/185,322.24 = 61,191.68/x
  3. Step 3: Cross multiply
    123,712x = 185,322.24 × 61,191.68
  4. Step 4: Simplify right side
    123,712x = 11,340,179,206.96
  5. Step 5: Solve for x
    x = 11,340,179,206.96/123,712
  6. Step 6: Final answer
    x = 91,665.96

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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.