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Finding the Fourth Proportional to 145,700.40, 218,113.20 and 86,505.60

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Solution

The fourth proportional to 145,700.40, 218,113.20 and 86,505.60 is: 129,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,700.40 : 218,113.20 = 86,505.60 : x
  2. Step 2: Convert to fraction form
    145,700.40/218,113.20 = 86,505.60/x
  3. Step 3: Cross multiply
    145,700.40x = 218,113.20 × 86,505.60
  4. Step 4: Simplify right side
    145,700.40x = 18,868,013,233.92
  5. Step 5: Solve for x
    x = 18,868,013,233.92/145,700.40
  6. Step 6: Final answer
    x = 129,498.71

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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.