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Finding the Fourth Proportional to 80,955.66, 121,408.74 and 38,814

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Solution

The fourth proportional to 80,955.66, 121,408.74 and 38,814 is: 58,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,955.66 : 121,408.74 = 38,814 : x
  2. Step 2: Convert to fraction form
    80,955.66/121,408.74 = 38,814/x
  3. Step 3: Cross multiply
    80,955.66x = 121,408.74 × 38,814
  4. Step 4: Simplify right side
    80,955.66x = 4,712,358,834.36
  5. Step 5: Solve for x
    x = 4,712,358,834.36/80,955.66
  6. Step 6: Final answer
    x = 58,209.13

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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.