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Finding the Fourth Proportional to 75,299.18, 112,726.80 and 65,957.45

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Solution

The fourth proportional to 75,299.18, 112,726.80 and 65,957.45 is: 98,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,299.18 : 112,726.80 = 65,957.45 : x
  2. Step 2: Convert to fraction form
    75,299.18/112,726.80 = 65,957.45/x
  3. Step 3: Cross multiply
    75,299.18x = 112,726.80 × 65,957.45
  4. Step 4: Simplify right side
    75,299.18x = 7,435,171,711.03
  5. Step 5: Solve for x
    x = 7,435,171,711.03/75,299.18
  6. Step 6: Final answer
    x = 98,741.74

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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.