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Finding the Fourth Proportional to 83,536.64, 125,304.32 and 21,207.68

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Solution

The fourth proportional to 83,536.64, 125,304.32 and 21,207.68 is: 31,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,536.64 : 125,304.32 = 21,207.68 : x
  2. Step 2: Convert to fraction form
    83,536.64/125,304.32 = 21,207.68/x
  3. Step 3: Cross multiply
    83,536.64x = 125,304.32 × 21,207.68
  4. Step 4: Simplify right side
    83,536.64x = 2,657,413,921.18
  5. Step 5: Solve for x
    x = 2,657,413,921.18/83,536.64
  6. Step 6: Final answer
    x = 31,811.36

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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.