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Finding the Fourth Proportional to 61,415.29, 84,752.11 and 34,557.78

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Solution

The fourth proportional to 61,415.29, 84,752.11 and 34,557.78 is: 47,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,415.29 : 84,752.11 = 34,557.78 : x
  2. Step 2: Convert to fraction form
    61,415.29/84,752.11 = 34,557.78/x
  3. Step 3: Cross multiply
    61,415.29x = 84,752.11 × 34,557.78
  4. Step 4: Simplify right side
    61,415.29x = 2,928,844,771.92
  5. Step 5: Solve for x
    x = 2,928,844,771.92/61,415.29
  6. Step 6: Final answer
    x = 47,689.18

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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.