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Finding the Fourth Proportional to 142,646.67, 213,939.02 and 42,780.05

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Solution

The fourth proportional to 142,646.67, 213,939.02 and 42,780.05 is: 64,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646.67 : 213,939.02 = 42,780.05 : x
  2. Step 2: Convert to fraction form
    142,646.67/213,939.02 = 42,780.05/x
  3. Step 3: Cross multiply
    142,646.67x = 213,939.02 × 42,780.05
  4. Step 4: Simplify right side
    142,646.67x = 9,152,321,812.08
  5. Step 5: Solve for x
    x = 9,152,321,812.08/142,646.67
  6. Step 6: Final answer
    x = 64,160.78

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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.