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Finding the Fourth Proportional to 140,449.68, 210,557.88 and 98,209.02

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Solution

The fourth proportional to 140,449.68, 210,557.88 and 98,209.02 is: 147,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,449.68 : 210,557.88 = 98,209.02 : x
  2. Step 2: Convert to fraction form
    140,449.68/210,557.88 = 98,209.02/x
  3. Step 3: Cross multiply
    140,449.68x = 210,557.88 × 98,209.02
  4. Step 4: Simplify right side
    140,449.68x = 20,678,683,048.08
  5. Step 5: Solve for x
    x = 20,678,683,048.08/140,449.68
  6. Step 6: Final answer
    x = 147,231.97

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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.