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Finding the Fourth Proportional to 162,199.76, 243,351.77 and 77,966.03

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Solution

The fourth proportional to 162,199.76, 243,351.77 and 77,966.03 is: 116,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,199.76 : 243,351.77 = 77,966.03 : x
  2. Step 2: Convert to fraction form
    162,199.76/243,351.77 = 77,966.03/x
  3. Step 3: Cross multiply
    162,199.76x = 243,351.77 × 77,966.03
  4. Step 4: Simplify right side
    162,199.76x = 18,973,169,793.78
  5. Step 5: Solve for x
    x = 18,973,169,793.78/162,199.76
  6. Step 6: Final answer
    x = 116,974.10

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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.