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Finding the Fourth Proportional to 218,871.76, 328,307.62 and 52,659.76

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Solution

The fourth proportional to 218,871.76, 328,307.62 and 52,659.76 is: 78,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,871.76 : 328,307.62 = 52,659.76 : x
  2. Step 2: Convert to fraction form
    218,871.76/328,307.62 = 52,659.76/x
  3. Step 3: Cross multiply
    218,871.76x = 328,307.62 × 52,659.76
  4. Step 4: Simplify right side
    218,871.76x = 17,288,600,475.37
  5. Step 5: Solve for x
    x = 17,288,600,475.37/218,871.76
  6. Step 6: Final answer
    x = 78,989.64

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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.