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Finding the Fourth Proportional to 84,007.80, 125,838.90 and 42,478.20

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Solution

The fourth proportional to 84,007.80, 125,838.90 and 42,478.20 is: 63,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,007.80 : 125,838.90 = 42,478.20 : x
  2. Step 2: Convert to fraction form
    84,007.80/125,838.90 = 42,478.20/x
  3. Step 3: Cross multiply
    84,007.80x = 125,838.90 × 42,478.20
  4. Step 4: Simplify right side
    84,007.80x = 5,345,409,961.98
  5. Step 5: Solve for x
    x = 5,345,409,961.98/84,007.80
  6. Step 6: Final answer
    x = 63,629.92

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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.