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Finding the Fourth Proportional to 131,844.53, 181,945.49 and 71,415

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Solution

The fourth proportional to 131,844.53, 181,945.49 and 71,415 is: 98,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,844.53 : 181,945.49 = 71,415 : x
  2. Step 2: Convert to fraction form
    131,844.53/181,945.49 = 71,415/x
  3. Step 3: Cross multiply
    131,844.53x = 181,945.49 × 71,415
  4. Step 4: Simplify right side
    131,844.53x = 12,993,636,811.28
  5. Step 5: Solve for x
    x = 12,993,636,811.28/131,844.53
  6. Step 6: Final answer
    x = 98,552.72

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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.