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Finding the Fourth Proportional to 218,957.76, 328,437.12 and 71,213.76

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Solution

The fourth proportional to 218,957.76, 328,437.12 and 71,213.76 is: 106,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,957.76 : 328,437.12 = 71,213.76 : x
  2. Step 2: Convert to fraction form
    218,957.76/328,437.12 = 71,213.76/x
  3. Step 3: Cross multiply
    218,957.76x = 328,437.12 × 71,213.76
  4. Step 4: Simplify right side
    218,957.76x = 23,389,242,238.77
  5. Step 5: Solve for x
    x = 23,389,242,238.77/218,957.76
  6. Step 6: Final answer
    x = 106,820.80

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1.5x scale

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.