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Finding the Fourth Proportional to 145,908.30, 218,700.45 and 57,132.30

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Solution

The fourth proportional to 145,908.30, 218,700.45 and 57,132.30 is: 85,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908.30 : 218,700.45 = 57,132.30 : x
  2. Step 2: Convert to fraction form
    145,908.30/218,700.45 = 57,132.30/x
  3. Step 3: Cross multiply
    145,908.30x = 218,700.45 × 57,132.30
  4. Step 4: Simplify right side
    145,908.30x = 12,494,859,719.54
  5. Step 5: Solve for x
    x = 12,494,859,719.54/145,908.30
  6. Step 6: Final answer
    x = 85,635.02

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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.