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Finding the Fourth Proportional to 144,652, 199,639.68 and 87,294.24

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Solution

The fourth proportional to 144,652, 199,639.68 and 87,294.24 is: 120,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652 : 199,639.68 = 87,294.24 : x
  2. Step 2: Convert to fraction form
    144,652/199,639.68 = 87,294.24/x
  3. Step 3: Cross multiply
    144,652x = 199,639.68 × 87,294.24
  4. Step 4: Simplify right side
    144,652x = 17,427,394,139.44
  5. Step 5: Solve for x
    x = 17,427,394,139.44/144,652
  6. Step 6: Final answer
    x = 120,478.07

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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.