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Finding the Fourth Proportional to 75,101.60, 112,646.64 and 19,696.16

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Solution

The fourth proportional to 75,101.60, 112,646.64 and 19,696.16 is: 29,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.60 : 112,646.64 = 19,696.16 : x
  2. Step 2: Convert to fraction form
    75,101.60/112,646.64 = 19,696.16/x
  3. Step 3: Cross multiply
    75,101.60x = 112,646.64 × 19,696.16
  4. Step 4: Simplify right side
    75,101.60x = 2,218,706,244.90
  5. Step 5: Solve for x
    x = 2,218,706,244.90/75,101.60
  6. Step 6: Final answer
    x = 29,542.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.