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Finding the Fourth Proportional to 137,425.68, 189,608.76 and 83,712.24

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Solution

The fourth proportional to 137,425.68, 189,608.76 and 83,712.24 is: 115,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,425.68 : 189,608.76 = 83,712.24 : x
  2. Step 2: Convert to fraction form
    137,425.68/189,608.76 = 83,712.24/x
  3. Step 3: Cross multiply
    137,425.68x = 189,608.76 × 83,712.24
  4. Step 4: Simplify right side
    137,425.68x = 15,872,574,023.22
  5. Step 5: Solve for x
    x = 15,872,574,023.22/137,425.68
  6. Step 6: Final answer
    x = 115,499.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.