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Finding the Fourth Proportional to 206,931.20, 310,407.72 and 88,483.28

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Solution

The fourth proportional to 206,931.20, 310,407.72 and 88,483.28 is: 132,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,931.20 : 310,407.72 = 88,483.28 : x
  2. Step 2: Convert to fraction form
    206,931.20/310,407.72 = 88,483.28/x
  3. Step 3: Cross multiply
    206,931.20x = 310,407.72 × 88,483.28
  4. Step 4: Simplify right side
    206,931.20x = 27,465,893,202.92
  5. Step 5: Solve for x
    x = 27,465,893,202.92/206,931.20
  6. Step 6: Final answer
    x = 132,729.59

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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.