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Finding the Fourth Proportional to 105,712.93, 145,843.14 and 67,473.82

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Solution

The fourth proportional to 105,712.93, 145,843.14 and 67,473.82 is: 93,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712.93 : 145,843.14 = 67,473.82 : x
  2. Step 2: Convert to fraction form
    105,712.93/145,843.14 = 67,473.82/x
  3. Step 3: Cross multiply
    105,712.93x = 145,843.14 × 67,473.82
  4. Step 4: Simplify right side
    105,712.93x = 9,840,593,776.59
  5. Step 5: Solve for x
    x = 9,840,593,776.59/105,712.93
  6. Step 6: Final answer
    x = 93,087.89

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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.