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Finding the Fourth Proportional to 144,718.80, 217,337.40 and 105,320.40

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Solution

The fourth proportional to 144,718.80, 217,337.40 and 105,320.40 is: 158,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,718.80 : 217,337.40 = 105,320.40 : x
  2. Step 2: Convert to fraction form
    144,718.80/217,337.40 = 105,320.40/x
  3. Step 3: Cross multiply
    144,718.80x = 217,337.40 × 105,320.40
  4. Step 4: Simplify right side
    144,718.80x = 22,890,061,902.96
  5. Step 5: Solve for x
    x = 22,890,061,902.96/144,718.80
  6. Step 6: Final answer
    x = 158,169.24

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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.