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Finding the Fourth Proportional to 61,400.56, 92,130 and 31,812.88

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Solution

The fourth proportional to 61,400.56, 92,130 and 31,812.88 is: 47,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,400.56 : 92,130 = 31,812.88 : x
  2. Step 2: Convert to fraction form
    61,400.56/92,130 = 31,812.88/x
  3. Step 3: Cross multiply
    61,400.56x = 92,130 × 31,812.88
  4. Step 4: Simplify right side
    61,400.56x = 2,930,920,634.40
  5. Step 5: Solve for x
    x = 2,930,920,634.40/61,400.56
  6. Step 6: Final answer
    x = 47,734.43

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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.