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Finding the Fourth Proportional to 132,854.40, 199,281.60 and 76,867.20

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Solution

The fourth proportional to 132,854.40, 199,281.60 and 76,867.20 is: 115,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,854.40 : 199,281.60 = 76,867.20 : x
  2. Step 2: Convert to fraction form
    132,854.40/199,281.60 = 76,867.20/x
  3. Step 3: Cross multiply
    132,854.40x = 199,281.60 × 76,867.20
  4. Step 4: Simplify right side
    132,854.40x = 15,318,218,603.52
  5. Step 5: Solve for x
    x = 15,318,218,603.52/132,854.40
  6. Step 6: Final answer
    x = 115,300.80

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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.