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Finding the Fourth Proportional to 137,484.70, 205,961.03 and 77,330.43

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Solution

The fourth proportional to 137,484.70, 205,961.03 and 77,330.43 is: 115,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,484.70 : 205,961.03 = 77,330.43 : x
  2. Step 2: Convert to fraction form
    137,484.70/205,961.03 = 77,330.43/x
  3. Step 3: Cross multiply
    137,484.70x = 205,961.03 × 77,330.43
  4. Step 4: Simplify right side
    137,484.70x = 15,927,055,351.46
  5. Step 5: Solve for x
    x = 15,927,055,351.46/137,484.70
  6. Step 6: Final answer
    x = 115,846.02

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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.