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Finding the Fourth Proportional to 75,101.76, 103,582.56 and 52,433.28

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Solution

The fourth proportional to 75,101.76, 103,582.56 and 52,433.28 is: 72,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.76 : 103,582.56 = 52,433.28 : x
  2. Step 2: Convert to fraction form
    75,101.76/103,582.56 = 52,433.28/x
  3. Step 3: Cross multiply
    75,101.76x = 103,582.56 × 52,433.28
  4. Step 4: Simplify right side
    75,101.76x = 5,431,173,371.60
  5. Step 5: Solve for x
    x = 5,431,173,371.60/75,101.76
  6. Step 6: Final answer
    x = 72,317.52

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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.