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Finding the Fourth Proportional to 137,559.76, 189,866.18 and 83,874.32

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Solution

The fourth proportional to 137,559.76, 189,866.18 and 83,874.32 is: 115,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,559.76 : 189,866.18 = 83,874.32 : x
  2. Step 2: Convert to fraction form
    137,559.76/189,866.18 = 83,874.32/x
  3. Step 3: Cross multiply
    137,559.76x = 189,866.18 × 83,874.32
  4. Step 4: Simplify right side
    137,559.76x = 15,924,896,738.50
  5. Step 5: Solve for x
    x = 15,924,896,738.50/137,559.76
  6. Step 6: Final answer
    x = 115,767.12

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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.