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Finding the Fourth Proportional to 84,401.60, 126,432.30 and 52,714.40

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Solution

The fourth proportional to 84,401.60, 126,432.30 and 52,714.40 is: 78,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,401.60 : 126,432.30 = 52,714.40 : x
  2. Step 2: Convert to fraction form
    84,401.60/126,432.30 = 52,714.40/x
  3. Step 3: Cross multiply
    84,401.60x = 126,432.30 × 52,714.40
  4. Step 4: Simplify right side
    84,401.60x = 6,664,802,835.12
  5. Step 5: Solve for x
    x = 6,664,802,835.12/84,401.60
  6. Step 6: Final answer
    x = 78,965.36

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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.