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Finding the Fourth Proportional to 131,173.80, 181,046.73 and 83,417.91

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Solution

The fourth proportional to 131,173.80, 181,046.73 and 83,417.91 is: 115,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,173.80 : 181,046.73 = 83,417.91 : x
  2. Step 2: Convert to fraction form
    131,173.80/181,046.73 = 83,417.91/x
  3. Step 3: Cross multiply
    131,173.80x = 181,046.73 × 83,417.91
  4. Step 4: Simplify right side
    131,173.80x = 15,102,539,828.93
  5. Step 5: Solve for x
    x = 15,102,539,828.93/131,173.80
  6. Step 6: Final answer
    x = 115,133.81

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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.