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Finding the Fourth Proportional to 78,470.88, 108,289.80 and 42,660.78

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Solution

The fourth proportional to 78,470.88, 108,289.80 and 42,660.78 is: 58,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.88 : 108,289.80 = 42,660.78 : x
  2. Step 2: Convert to fraction form
    78,470.88/108,289.80 = 42,660.78/x
  3. Step 3: Cross multiply
    78,470.88x = 108,289.80 × 42,660.78
  4. Step 4: Simplify right side
    78,470.88x = 4,619,727,334.04
  5. Step 5: Solve for x
    x = 4,619,727,334.04/78,470.88
  6. Step 6: Final answer
    x = 58,871.87

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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.