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Finding the Fourth Proportional to 135,689.89, 187,129.54 and 84,707.32

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Solution

The fourth proportional to 135,689.89, 187,129.54 and 84,707.32 is: 116,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,689.89 : 187,129.54 = 84,707.32 : x
  2. Step 2: Convert to fraction form
    135,689.89/187,129.54 = 84,707.32/x
  3. Step 3: Cross multiply
    135,689.89x = 187,129.54 × 84,707.32
  4. Step 4: Simplify right side
    135,689.89x = 15,851,241,826.23
  5. Step 5: Solve for x
    x = 15,851,241,826.23/135,689.89
  6. Step 6: Final answer
    x = 116,819.62

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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.