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Finding the Fourth Proportional to 144,857, 217,321 and 117,029.18

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Solution

The fourth proportional to 144,857, 217,321 and 117,029.18 is: 175,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,857 : 217,321 = 117,029.18 : x
  2. Step 2: Convert to fraction form
    144,857/217,321 = 117,029.18/x
  3. Step 3: Cross multiply
    144,857x = 217,321 × 117,029.18
  4. Step 4: Simplify right side
    144,857x = 25,432,898,426.78
  5. Step 5: Solve for x
    x = 25,432,898,426.78/144,857
  6. Step 6: Final answer
    x = 175,572.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.