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Finding the Fourth Proportional to 105,246, 145,357.20 and 81,658.80

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Solution

The fourth proportional to 105,246, 145,357.20 and 81,658.80 is: 112,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,246 : 145,357.20 = 81,658.80 : x
  2. Step 2: Convert to fraction form
    105,246/145,357.20 = 81,658.80/x
  3. Step 3: Cross multiply
    105,246x = 145,357.20 × 81,658.80
  4. Step 4: Simplify right side
    105,246x = 11,869,694,523.36
  5. Step 5: Solve for x
    x = 11,869,694,523.36/105,246
  6. Step 6: Final answer
    x = 112,780.48

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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.