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Finding the Fourth Proportional to 218,872.40, 328,114.20 and 130,031.60

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Solution

The fourth proportional to 218,872.40, 328,114.20 and 130,031.60 is: 194,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872.40 : 328,114.20 = 130,031.60 : x
  2. Step 2: Convert to fraction form
    218,872.40/328,114.20 = 130,031.60/x
  3. Step 3: Cross multiply
    218,872.40x = 328,114.20 × 130,031.60
  4. Step 4: Simplify right side
    218,872.40x = 42,665,214,408.72
  5. Step 5: Solve for x
    x = 42,665,214,408.72/218,872.40
  6. Step 6: Final answer
    x = 194,931.91

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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.