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Finding the Fourth Proportional to 135,777.88, 187,368.52 and 75,351.16

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Solution

The fourth proportional to 135,777.88, 187,368.52 and 75,351.16 is: 103,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,777.88 : 187,368.52 = 75,351.16 : x
  2. Step 2: Convert to fraction form
    135,777.88/187,368.52 = 75,351.16/x
  3. Step 3: Cross multiply
    135,777.88x = 187,368.52 × 75,351.16
  4. Step 4: Simplify right side
    135,777.88x = 14,118,435,329.48
  5. Step 5: Solve for x
    x = 14,118,435,329.48/135,777.88
  6. Step 6: Final answer
    x = 103,981.85

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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.