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Finding the Fourth Proportional to 135,641.95, 187,188.14 and 75,215.14

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Solution

The fourth proportional to 135,641.95, 187,188.14 and 75,215.14 is: 103,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.95 : 187,188.14 = 75,215.14 : x
  2. Step 2: Convert to fraction form
    135,641.95/187,188.14 = 75,215.14/x
  3. Step 3: Cross multiply
    135,641.95x = 187,188.14 × 75,215.14
  4. Step 4: Simplify right side
    135,641.95x = 14,079,380,844.42
  5. Step 5: Solve for x
    x = 14,079,380,844.42/135,641.95
  6. Step 6: Final answer
    x = 103,798.13

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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.