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Finding the Fourth Proportional to 145,655.70, 218,508.52 and 66,776.68

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Solution

The fourth proportional to 145,655.70, 218,508.52 and 66,776.68 is: 100,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,655.70 : 218,508.52 = 66,776.68 : x
  2. Step 2: Convert to fraction form
    145,655.70/218,508.52 = 66,776.68/x
  3. Step 3: Cross multiply
    145,655.70x = 218,508.52 × 66,776.68
  4. Step 4: Simplify right side
    145,655.70x = 14,591,273,517.31
  5. Step 5: Solve for x
    x = 14,591,273,517.31/145,655.70
  6. Step 6: Final answer
    x = 100,176.47

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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.