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Finding the Fourth Proportional to 98,687.78, 147,909.02 and 45,323.16

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Solution

The fourth proportional to 98,687.78, 147,909.02 and 45,323.16 is: 67,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,687.78 : 147,909.02 = 45,323.16 : x
  2. Step 2: Convert to fraction form
    98,687.78/147,909.02 = 45,323.16/x
  3. Step 3: Cross multiply
    98,687.78x = 147,909.02 × 45,323.16
  4. Step 4: Simplify right side
    98,687.78x = 6,703,704,178.90
  5. Step 5: Solve for x
    x = 6,703,704,178.90/98,687.78
  6. Step 6: Final answer
    x = 67,928.41

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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.