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Finding the Fourth Proportional to 71,780.61, 99,066.65 and 41,165.70

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Solution

The fourth proportional to 71,780.61, 99,066.65 and 41,165.70 is: 56,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780.61 : 99,066.65 = 41,165.70 : x
  2. Step 2: Convert to fraction form
    71,780.61/99,066.65 = 41,165.70/x
  3. Step 3: Cross multiply
    71,780.61x = 99,066.65 × 41,165.70
  4. Step 4: Simplify right side
    71,780.61x = 4,078,147,788.08
  5. Step 5: Solve for x
    x = 4,078,147,788.08/71,780.61
  6. Step 6: Final answer
    x = 56,814.06

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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.