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Finding the Fourth Proportional to 98,814.80, 148,319.40 and 48,951.20

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Solution

The fourth proportional to 98,814.80, 148,319.40 and 48,951.20 is: 73,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,814.80 : 148,319.40 = 48,951.20 : x
  2. Step 2: Convert to fraction form
    98,814.80/148,319.40 = 48,951.20/x
  3. Step 3: Cross multiply
    98,814.80x = 148,319.40 × 48,951.20
  4. Step 4: Simplify right side
    98,814.80x = 7,260,412,613.28
  5. Step 5: Solve for x
    x = 7,260,412,613.28/98,814.80
  6. Step 6: Final answer
    x = 73,474.95

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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.