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Finding the Fourth Proportional to 135,718.56, 187,291.40 and 75,298.41

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Solution

The fourth proportional to 135,718.56, 187,291.40 and 75,298.41 is: 103,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,718.56 : 187,291.40 = 75,298.41 : x
  2. Step 2: Convert to fraction form
    135,718.56/187,291.40 = 75,298.41/x
  3. Step 3: Cross multiply
    135,718.56x = 187,291.40 × 75,298.41
  4. Step 4: Simplify right side
    135,718.56x = 14,102,744,250.18
  5. Step 5: Solve for x
    x = 14,102,744,250.18/135,718.56
  6. Step 6: Final answer
    x = 103,911.68

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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.