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Finding the Fourth Proportional to 165,711.20, 248,599.20 and 65,854.40

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Solution

The fourth proportional to 165,711.20, 248,599.20 and 65,854.40 is: 98,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,711.20 : 248,599.20 = 65,854.40 : x
  2. Step 2: Convert to fraction form
    165,711.20/248,599.20 = 65,854.40/x
  3. Step 3: Cross multiply
    165,711.20x = 248,599.20 × 65,854.40
  4. Step 4: Simplify right side
    165,711.20x = 16,371,351,156.48
  5. Step 5: Solve for x
    x = 16,371,351,156.48/165,711.20
  6. Step 6: Final answer
    x = 98,794.48

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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.