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Finding the Fourth Proportional to 141,508.80, 211,978.26 and 65,500.20

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Solution

The fourth proportional to 141,508.80, 211,978.26 and 65,500.20 is: 98,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,508.80 : 211,978.26 = 65,500.20 : x
  2. Step 2: Convert to fraction form
    141,508.80/211,978.26 = 65,500.20/x
  3. Step 3: Cross multiply
    141,508.80x = 211,978.26 × 65,500.20
  4. Step 4: Simplify right side
    141,508.80x = 13,884,618,425.65
  5. Step 5: Solve for x
    x = 13,884,618,425.65/141,508.80
  6. Step 6: Final answer
    x = 98,118.41

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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.