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Finding the Fourth Proportional to 137,362.56, 205,695.36 and 115,117.44

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Solution

The fourth proportional to 137,362.56, 205,695.36 and 115,117.44 is: 172,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,362.56 : 205,695.36 = 115,117.44 : x
  2. Step 2: Convert to fraction form
    137,362.56/205,695.36 = 115,117.44/x
  3. Step 3: Cross multiply
    137,362.56x = 205,695.36 × 115,117.44
  4. Step 4: Simplify right side
    137,362.56x = 23,679,123,263.08
  5. Step 5: Solve for x
    x = 23,679,123,263.08/137,362.56
  6. Step 6: Final answer
    x = 172,384.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.