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Finding the Fourth Proportional to 76,753.95, 105,913.22 and 42,758.97

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Solution

The fourth proportional to 76,753.95, 105,913.22 and 42,758.97 is: 59,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.95 : 105,913.22 = 42,758.97 : x
  2. Step 2: Convert to fraction form
    76,753.95/105,913.22 = 42,758.97/x
  3. Step 3: Cross multiply
    76,753.95x = 105,913.22 × 42,758.97
  4. Step 4: Simplify right side
    76,753.95x = 4,528,739,982.79
  5. Step 5: Solve for x
    x = 4,528,739,982.79/76,753.95
  6. Step 6: Final answer
    x = 59,003.35

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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.