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Finding the Fourth Proportional to 73,143.80, 100,978.62 and 45,948.25

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Solution

The fourth proportional to 73,143.80, 100,978.62 and 45,948.25 is: 63,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,143.80 : 100,978.62 = 45,948.25 : x
  2. Step 2: Convert to fraction form
    73,143.80/100,978.62 = 45,948.25/x
  3. Step 3: Cross multiply
    73,143.80x = 100,978.62 × 45,948.25
  4. Step 4: Simplify right side
    73,143.80x = 4,639,790,646.67
  5. Step 5: Solve for x
    x = 4,639,790,646.67/73,143.80
  6. Step 6: Final answer
    x = 63,433.82

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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.