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Finding the Fourth Proportional to 162,615.90, 243,819.77 and 78,207.96

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Solution

The fourth proportional to 162,615.90, 243,819.77 and 78,207.96 is: 117,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,615.90 : 243,819.77 = 78,207.96 : x
  2. Step 2: Convert to fraction form
    162,615.90/243,819.77 = 78,207.96/x
  3. Step 3: Cross multiply
    162,615.90x = 243,819.77 × 78,207.96
  4. Step 4: Simplify right side
    162,615.90x = 19,068,645,725.34
  5. Step 5: Solve for x
    x = 19,068,645,725.34/162,615.90
  6. Step 6: Final answer
    x = 117,261.87

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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.