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Finding the Fourth Proportional to 71,800.32, 107,726.40 and 36,756.48

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Solution

The fourth proportional to 71,800.32, 107,726.40 and 36,756.48 is: 55,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,800.32 : 107,726.40 = 36,756.48 : x
  2. Step 2: Convert to fraction form
    71,800.32/107,726.40 = 36,756.48/x
  3. Step 3: Cross multiply
    71,800.32x = 107,726.40 × 36,756.48
  4. Step 4: Simplify right side
    71,800.32x = 3,959,643,267.07
  5. Step 5: Solve for x
    x = 3,959,643,267.07/71,800.32
  6. Step 6: Final answer
    x = 55,147.99

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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.