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Finding the Fourth Proportional to 135,644.52, 187,191 and 75,215.82

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Solution

The fourth proportional to 135,644.52, 187,191 and 75,215.82 is: 103,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.52 : 187,191 = 75,215.82 : x
  2. Step 2: Convert to fraction form
    135,644.52/187,191 = 75,215.82/x
  3. Step 3: Cross multiply
    135,644.52x = 187,191 × 75,215.82
  4. Step 4: Simplify right side
    135,644.52x = 14,079,724,561.62
  5. Step 5: Solve for x
    x = 14,079,724,561.62/135,644.52
  6. Step 6: Final answer
    x = 103,798.70

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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.