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Finding the Fourth Proportional to 259,095.30, 388,642.98 and 101,213.04

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Solution

The fourth proportional to 259,095.30, 388,642.98 and 101,213.04 is: 151,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,095.30 : 388,642.98 = 101,213.04 : x
  2. Step 2: Convert to fraction form
    259,095.30/388,642.98 = 101,213.04/x
  3. Step 3: Cross multiply
    259,095.30x = 388,642.98 × 101,213.04
  4. Step 4: Simplify right side
    259,095.30x = 39,335,737,480.46
  5. Step 5: Solve for x
    x = 39,335,737,480.46/259,095.30
  6. Step 6: Final answer
    x = 151,819.57

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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.