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Finding the Fourth Proportional to 87,781, 121,138.02 and 48,037

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Solution

The fourth proportional to 87,781, 121,138.02 and 48,037 is: 66,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,781 : 121,138.02 = 48,037 : x
  2. Step 2: Convert to fraction form
    87,781/121,138.02 = 48,037/x
  3. Step 3: Cross multiply
    87,781x = 121,138.02 × 48,037
  4. Step 4: Simplify right side
    87,781x = 5,819,107,066.74
  5. Step 5: Solve for x
    x = 5,819,107,066.74/87,781
  6. Step 6: Final answer
    x = 66,291.19

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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.