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Finding the Fourth Proportional to 135,706.89, 187,278.51 and 75,275.57

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Solution

The fourth proportional to 135,706.89, 187,278.51 and 75,275.57 is: 103,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.89 : 187,278.51 = 75,275.57 : x
  2. Step 2: Convert to fraction form
    135,706.89/187,278.51 = 75,275.57/x
  3. Step 3: Cross multiply
    135,706.89x = 187,278.51 × 75,275.57
  4. Step 4: Simplify right side
    135,706.89x = 14,097,496,589.00
  5. Step 5: Solve for x
    x = 14,097,496,589.00/135,706.89
  6. Step 6: Final answer
    x = 103,881.95

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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.