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Finding the Fourth Proportional to 219,117.90, 327,985.65 and 156,909.90

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Solution

The fourth proportional to 219,117.90, 327,985.65 and 156,909.90 is: 234,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,117.90 : 327,985.65 = 156,909.90 : x
  2. Step 2: Convert to fraction form
    219,117.90/327,985.65 = 156,909.90/x
  3. Step 3: Cross multiply
    219,117.90x = 327,985.65 × 156,909.90
  4. Step 4: Simplify right side
    219,117.90x = 51,464,195,542.94
  5. Step 5: Solve for x
    x = 51,464,195,542.94/219,117.90
  6. Step 6: Final answer
    x = 234,869.88

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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.