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Finding the Fourth Proportional to 135,812.52, 187,412.43 and 75,383.13

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Solution

The fourth proportional to 135,812.52, 187,412.43 and 75,383.13 is: 104,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,812.52 : 187,412.43 = 75,383.13 : x
  2. Step 2: Convert to fraction form
    135,812.52/187,412.43 = 75,383.13/x
  3. Step 3: Cross multiply
    135,812.52x = 187,412.43 × 75,383.13
  4. Step 4: Simplify right side
    135,812.52x = 14,127,735,574.31
  5. Step 5: Solve for x
    x = 14,127,735,574.31/135,812.52
  6. Step 6: Final answer
    x = 104,023.81

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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.