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Finding the Fourth Proportional to 145,773.71, 218,660.57 and 83,400.47

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Solution

The fourth proportional to 145,773.71, 218,660.57 and 83,400.47 is: 125,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,773.71 : 218,660.57 = 83,400.47 : x
  2. Step 2: Convert to fraction form
    145,773.71/218,660.57 = 83,400.47/x
  3. Step 3: Cross multiply
    145,773.71x = 218,660.57 × 83,400.47
  4. Step 4: Simplify right side
    145,773.71x = 18,236,393,930.89
  5. Step 5: Solve for x
    x = 18,236,393,930.89/145,773.71
  6. Step 6: Final answer
    x = 125,100.71

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1.5x scale

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.