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Finding the Fourth Proportional to 135,592.95, 187,119.69 and 75,164.79

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Solution

The fourth proportional to 135,592.95, 187,119.69 and 75,164.79 is: 103,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,592.95 : 187,119.69 = 75,164.79 : x
  2. Step 2: Convert to fraction form
    135,592.95/187,119.69 = 75,164.79/x
  3. Step 3: Cross multiply
    135,592.95x = 187,119.69 × 75,164.79
  4. Step 4: Simplify right side
    135,592.95x = 14,064,812,203.72
  5. Step 5: Solve for x
    x = 14,064,812,203.72/135,592.95
  6. Step 6: Final answer
    x = 103,728.20

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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.