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Finding the Fourth Proportional to 75,154.32, 103,405.68 and 65,050.56

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Solution

The fourth proportional to 75,154.32, 103,405.68 and 65,050.56 is: 89,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,154.32 : 103,405.68 = 65,050.56 : x
  2. Step 2: Convert to fraction form
    75,154.32/103,405.68 = 65,050.56/x
  3. Step 3: Cross multiply
    75,154.32x = 103,405.68 × 65,050.56
  4. Step 4: Simplify right side
    75,154.32x = 6,726,597,391.18
  5. Step 5: Solve for x
    x = 6,726,597,391.18/75,154.32
  6. Step 6: Final answer
    x = 89,503.80

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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.