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Finding the Fourth Proportional to 250,125.84, 345,105.36 and 142,656.66

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Solution

The fourth proportional to 250,125.84, 345,105.36 and 142,656.66 is: 196,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,125.84 : 345,105.36 = 142,656.66 : x
  2. Step 2: Convert to fraction form
    250,125.84/345,105.36 = 142,656.66/x
  3. Step 3: Cross multiply
    250,125.84x = 345,105.36 × 142,656.66
  4. Step 4: Simplify right side
    250,125.84x = 49,231,578,005.70
  5. Step 5: Solve for x
    x = 49,231,578,005.70/250,125.84
  6. Step 6: Final answer
    x = 196,827.24

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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.