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Finding the Fourth Proportional to 114,422.40, 157,744.80 and 71,956.80

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Solution

The fourth proportional to 114,422.40, 157,744.80 and 71,956.80 is: 99,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,422.40 : 157,744.80 = 71,956.80 : x
  2. Step 2: Convert to fraction form
    114,422.40/157,744.80 = 71,956.80/x
  3. Step 3: Cross multiply
    114,422.40x = 157,744.80 × 71,956.80
  4. Step 4: Simplify right side
    114,422.40x = 11,350,811,024.64
  5. Step 5: Solve for x
    x = 11,350,811,024.64/114,422.40
  6. Step 6: Final answer
    x = 99,200.95

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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.