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Finding the Fourth Proportional to 135,856.65, 187,474.85 and 75,423.40

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Solution

The fourth proportional to 135,856.65, 187,474.85 and 75,423.40 is: 104,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,856.65 : 187,474.85 = 75,423.40 : x
  2. Step 2: Convert to fraction form
    135,856.65/187,474.85 = 75,423.40/x
  3. Step 3: Cross multiply
    135,856.65x = 187,474.85 × 75,423.40
  4. Step 4: Simplify right side
    135,856.65x = 14,139,990,601.49
  5. Step 5: Solve for x
    x = 14,139,990,601.49/135,856.65
  6. Step 6: Final answer
    x = 104,080.22

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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.