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Finding the Fourth Proportional to 137,599.29, 189,888.96 and 83,143.91

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Solution

The fourth proportional to 137,599.29, 189,888.96 and 83,143.91 is: 114,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,599.29 : 189,888.96 = 83,143.91 : x
  2. Step 2: Convert to fraction form
    137,599.29/189,888.96 = 83,143.91/x
  3. Step 3: Cross multiply
    137,599.29x = 189,888.96 × 83,143.91
  4. Step 4: Simplify right side
    137,599.29x = 15,788,109,650.79
  5. Step 5: Solve for x
    x = 15,788,109,650.79/137,599.29
  6. Step 6: Final answer
    x = 114,739.76

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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.