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Finding the Fourth Proportional to 135,751.65, 187,289.63 and 78,389.34

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Solution

The fourth proportional to 135,751.65, 187,289.63 and 78,389.34 is: 108,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,751.65 : 187,289.63 = 78,389.34 : x
  2. Step 2: Convert to fraction form
    135,751.65/187,289.63 = 78,389.34/x
  3. Step 3: Cross multiply
    135,751.65x = 187,289.63 × 78,389.34
  4. Step 4: Simplify right side
    135,751.65x = 14,681,510,680.52
  5. Step 5: Solve for x
    x = 14,681,510,680.52/135,751.65
  6. Step 6: Final answer
    x = 108,149.78

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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.