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Finding the Fourth Proportional to 145,524, 218,286.05 and 65,468.45

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Solution

The fourth proportional to 145,524, 218,286.05 and 65,468.45 is: 98,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,524 : 218,286.05 = 65,468.45 : x
  2. Step 2: Convert to fraction form
    145,524/218,286.05 = 65,468.45/x
  3. Step 3: Cross multiply
    145,524x = 218,286.05 × 65,468.45
  4. Step 4: Simplify right side
    145,524x = 14,290,849,350.12
  5. Step 5: Solve for x
    x = 14,290,849,350.12/145,524
  6. Step 6: Final answer
    x = 98,202.70

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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.