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Finding the Fourth Proportional to 135,684.72, 187,230.42 and 75,239.28

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Solution

The fourth proportional to 135,684.72, 187,230.42 and 75,239.28 is: 103,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,684.72 : 187,230.42 = 75,239.28 : x
  2. Step 2: Convert to fraction form
    135,684.72/187,230.42 = 75,239.28/x
  3. Step 3: Cross multiply
    135,684.72x = 187,230.42 × 75,239.28
  4. Step 4: Simplify right side
    135,684.72x = 14,087,081,994.90
  5. Step 5: Solve for x
    x = 14,087,081,994.90/135,684.72
  6. Step 6: Final answer
    x = 103,822.17

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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.