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Finding the Fourth Proportional to 121,542.40, 182,248.80 and 51,342.40

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Solution

The fourth proportional to 121,542.40, 182,248.80 and 51,342.40 is: 76,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,542.40 : 182,248.80 = 51,342.40 : x
  2. Step 2: Convert to fraction form
    121,542.40/182,248.80 = 51,342.40/x
  3. Step 3: Cross multiply
    121,542.40x = 182,248.80 × 51,342.40
  4. Step 4: Simplify right side
    121,542.40x = 9,357,090,789.12
  5. Step 5: Solve for x
    x = 9,357,090,789.12/121,542.40
  6. Step 6: Final answer
    x = 76,986.23

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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.