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Finding the Fourth Proportional to 80,971, 111,755.10 and 47,437

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Solution

The fourth proportional to 80,971, 111,755.10 and 47,437 is: 65,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,971 : 111,755.10 = 47,437 : x
  2. Step 2: Convert to fraction form
    80,971/111,755.10 = 47,437/x
  3. Step 3: Cross multiply
    80,971x = 111,755.10 × 47,437
  4. Step 4: Simplify right side
    80,971x = 5,301,326,678.70
  5. Step 5: Solve for x
    x = 5,301,326,678.70/80,971
  6. Step 6: Final answer
    x = 65,471.92

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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.