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Finding the Fourth Proportional to 250,191, 345,264.80 and 137,013.75

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Solution

The fourth proportional to 250,191, 345,264.80 and 137,013.75 is: 189,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,191 : 345,264.80 = 137,013.75 : x
  2. Step 2: Convert to fraction form
    250,191/345,264.80 = 137,013.75/x
  3. Step 3: Cross multiply
    250,191x = 345,264.80 × 137,013.75
  4. Step 4: Simplify right side
    250,191x = 47,306,024,305.93
  5. Step 5: Solve for x
    x = 47,306,024,305.93/250,191
  6. Step 6: Final answer
    x = 189,079.64

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1.5x scale

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.