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Finding the Fourth Proportional to 81,358, 112,195.20 and 63,446.48

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Solution

The fourth proportional to 81,358, 112,195.20 and 63,446.48 is: 87,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,358 : 112,195.20 = 63,446.48 : x
  2. Step 2: Convert to fraction form
    81,358/112,195.20 = 63,446.48/x
  3. Step 3: Cross multiply
    81,358x = 112,195.20 × 63,446.48
  4. Step 4: Simplify right side
    81,358x = 7,118,390,512.90
  5. Step 5: Solve for x
    x = 7,118,390,512.90/81,358
  6. Step 6: Final answer
    x = 87,494.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.