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Finding the Fourth Proportional to 219,069.78, 302,363.13 and 138,445.86

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Solution

The fourth proportional to 219,069.78, 302,363.13 and 138,445.86 is: 191,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,069.78 : 302,363.13 = 138,445.86 : x
  2. Step 2: Convert to fraction form
    219,069.78/302,363.13 = 138,445.86/x
  3. Step 3: Cross multiply
    219,069.78x = 302,363.13 × 138,445.86
  4. Step 4: Simplify right side
    219,069.78x = 41,860,923,565.14
  5. Step 5: Solve for x
    x = 41,860,923,565.14/219,069.78
  6. Step 6: Final answer
    x = 191,084.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.