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Finding the Fourth Proportional to 219,041.70, 328,319.55 and 85,877.70

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Solution

The fourth proportional to 219,041.70, 328,319.55 and 85,877.70 is: 128,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,041.70 : 328,319.55 = 85,877.70 : x
  2. Step 2: Convert to fraction form
    219,041.70/328,319.55 = 85,877.70/x
  3. Step 3: Cross multiply
    219,041.70x = 328,319.55 × 85,877.70
  4. Step 4: Simplify right side
    219,041.70x = 28,195,327,819.04
  5. Step 5: Solve for x
    x = 28,195,327,819.04/219,041.70
  6. Step 6: Final answer
    x = 128,721.28

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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.