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Finding the Fourth Proportional to 141,666.72, 195,498 and 78,002.88

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Solution

The fourth proportional to 141,666.72, 195,498 and 78,002.88 is: 107,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,666.72 : 195,498 = 78,002.88 : x
  2. Step 2: Convert to fraction form
    141,666.72/195,498 = 78,002.88/x
  3. Step 3: Cross multiply
    141,666.72x = 195,498 × 78,002.88
  4. Step 4: Simplify right side
    141,666.72x = 15,249,407,034.24
  5. Step 5: Solve for x
    x = 15,249,407,034.24/141,666.72
  6. Step 6: Final answer
    x = 107,642.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.