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Finding the Fourth Proportional to 58,146.84, 87,147.12 and 31,491.78

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Solution

The fourth proportional to 58,146.84, 87,147.12 and 31,491.78 is: 47,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,146.84 : 87,147.12 = 31,491.78 : x
  2. Step 2: Convert to fraction form
    58,146.84/87,147.12 = 31,491.78/x
  3. Step 3: Cross multiply
    58,146.84x = 87,147.12 × 31,491.78
  4. Step 4: Simplify right side
    58,146.84x = 2,744,417,930.67
  5. Step 5: Solve for x
    x = 2,744,417,930.67/58,146.84
  6. Step 6: Final answer
    x = 47,198.06

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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.