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Finding the Fourth Proportional to 187,139.48, 280,710.44 and 74,829.14

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Solution

The fourth proportional to 187,139.48, 280,710.44 and 74,829.14 is: 112,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,139.48 : 280,710.44 = 74,829.14 : x
  2. Step 2: Convert to fraction form
    187,139.48/280,710.44 = 74,829.14/x
  3. Step 3: Cross multiply
    187,139.48x = 280,710.44 × 74,829.14
  4. Step 4: Simplify right side
    187,139.48x = 21,005,319,036.52
  5. Step 5: Solve for x
    x = 21,005,319,036.52/187,139.48
  6. Step 6: Final answer
    x = 112,244.19

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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.