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Finding the Fourth Proportional to 75,281.48, 103,627.64 and 65,067.83

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Solution

The fourth proportional to 75,281.48, 103,627.64 and 65,067.83 is: 89,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281.48 : 103,627.64 = 65,067.83 : x
  2. Step 2: Convert to fraction form
    75,281.48/103,627.64 = 65,067.83/x
  3. Step 3: Cross multiply
    75,281.48x = 103,627.64 × 65,067.83
  4. Step 4: Simplify right side
    75,281.48x = 6,742,824,819.34
  5. Step 5: Solve for x
    x = 6,742,824,819.34/75,281.48
  6. Step 6: Final answer
    x = 89,568.18

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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.