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Finding the Fourth Proportional to 77,753.88, 107,352 and 59,817.24

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Solution

The fourth proportional to 77,753.88, 107,352 and 59,817.24 is: 82,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,753.88 : 107,352 = 59,817.24 : x
  2. Step 2: Convert to fraction form
    77,753.88/107,352 = 59,817.24/x
  3. Step 3: Cross multiply
    77,753.88x = 107,352 × 59,817.24
  4. Step 4: Simplify right side
    77,753.88x = 6,421,500,348.48
  5. Step 5: Solve for x
    x = 6,421,500,348.48/77,753.88
  6. Step 6: Final answer
    x = 82,587.52

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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.