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Finding the Fourth Proportional to 137,696.90, 189,951.44 and 89,978.18

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Solution

The fourth proportional to 137,696.90, 189,951.44 and 89,978.18 is: 124,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.90 : 189,951.44 = 89,978.18 : x
  2. Step 2: Convert to fraction form
    137,696.90/189,951.44 = 89,978.18/x
  3. Step 3: Cross multiply
    137,696.90x = 189,951.44 × 89,978.18
  4. Step 4: Simplify right side
    137,696.90x = 17,091,484,859.58
  5. Step 5: Solve for x
    x = 17,091,484,859.58/137,696.90
  6. Step 6: Final answer
    x = 124,123.96

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1.5x scale

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.