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Finding the Fourth Proportional to 128,352.52, 177,142.98 and 71,767

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Solution

The fourth proportional to 128,352.52, 177,142.98 and 71,767 is: 99,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,352.52 : 177,142.98 = 71,767 : x
  2. Step 2: Convert to fraction form
    128,352.52/177,142.98 = 71,767/x
  3. Step 3: Cross multiply
    128,352.52x = 177,142.98 × 71,767
  4. Step 4: Simplify right side
    128,352.52x = 12,713,020,245.66
  5. Step 5: Solve for x
    x = 12,713,020,245.66/128,352.52
  6. Step 6: Final answer
    x = 99,047.69

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1.5x scale

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.