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Finding the Fourth Proportional to 233,385.66, 322,079.88 and 142,781.88

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Solution

The fourth proportional to 233,385.66, 322,079.88 and 142,781.88 is: 197,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,385.66 : 322,079.88 = 142,781.88 : x
  2. Step 2: Convert to fraction form
    233,385.66/322,079.88 = 142,781.88/x
  3. Step 3: Cross multiply
    233,385.66x = 322,079.88 × 142,781.88
  4. Step 4: Simplify right side
    233,385.66x = 45,987,170,776.57
  5. Step 5: Solve for x
    x = 45,987,170,776.57/233,385.66
  6. Step 6: Final answer
    x = 197,043.69

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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.