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Finding the Fourth Proportional to 99,142.80, 148,811.40 and 49,279.20

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Solution

The fourth proportional to 99,142.80, 148,811.40 and 49,279.20 is: 73,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,142.80 : 148,811.40 = 49,279.20 : x
  2. Step 2: Convert to fraction form
    99,142.80/148,811.40 = 49,279.20/x
  3. Step 3: Cross multiply
    99,142.80x = 148,811.40 × 49,279.20
  4. Step 4: Simplify right side
    99,142.80x = 7,333,306,742.88
  5. Step 5: Solve for x
    x = 7,333,306,742.88/99,142.80
  6. Step 6: Final answer
    x = 73,967.11

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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.