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Finding the Fourth Proportional to 145,425.92, 218,132.53 and 45,583.84

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Solution

The fourth proportional to 145,425.92, 218,132.53 and 45,583.84 is: 68,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,425.92 : 218,132.53 = 45,583.84 : x
  2. Step 2: Convert to fraction form
    145,425.92/218,132.53 = 45,583.84/x
  3. Step 3: Cross multiply
    145,425.92x = 218,132.53 × 45,583.84
  4. Step 4: Simplify right side
    145,425.92x = 9,943,318,346.32
  5. Step 5: Solve for x
    x = 9,943,318,346.32/145,425.92
  6. Step 6: Final answer
    x = 68,373.77

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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.