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Finding the Fourth Proportional to 83,663.44, 125,513.88 and 28,258

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Solution

The fourth proportional to 83,663.44, 125,513.88 and 28,258 is: 42,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,663.44 : 125,513.88 = 28,258 : x
  2. Step 2: Convert to fraction form
    83,663.44/125,513.88 = 28,258/x
  3. Step 3: Cross multiply
    83,663.44x = 125,513.88 × 28,258
  4. Step 4: Simplify right side
    83,663.44x = 3,546,771,221.04
  5. Step 5: Solve for x
    x = 3,546,771,221.04/83,663.44
  6. Step 6: Final answer
    x = 42,393.32

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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.