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Finding the Fourth Proportional to 65,863.13, 90,866.31 and 43,214.61

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Solution

The fourth proportional to 65,863.13, 90,866.31 and 43,214.61 is: 59,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.13 : 90,866.31 = 43,214.61 : x
  2. Step 2: Convert to fraction form
    65,863.13/90,866.31 = 43,214.61/x
  3. Step 3: Cross multiply
    65,863.13x = 90,866.31 × 43,214.61
  4. Step 4: Simplify right side
    65,863.13x = 3,926,752,327.48
  5. Step 5: Solve for x
    x = 3,926,752,327.48/65,863.13
  6. Step 6: Final answer
    x = 59,619.89

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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.