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Finding the Fourth Proportional to 151,499.52, 209,076.48 and 84,432

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Solution

The fourth proportional to 151,499.52, 209,076.48 and 84,432 is: 116,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,499.52 : 209,076.48 = 84,432 : x
  2. Step 2: Convert to fraction form
    151,499.52/209,076.48 = 84,432/x
  3. Step 3: Cross multiply
    151,499.52x = 209,076.48 × 84,432
  4. Step 4: Simplify right side
    151,499.52x = 17,652,745,359.36
  5. Step 5: Solve for x
    x = 17,652,745,359.36/151,499.52
  6. Step 6: Final answer
    x = 116,520.14

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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.