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Finding the Fourth Proportional to 55,781.61, 83,671.86 and 13,661.88

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Solution

The fourth proportional to 55,781.61, 83,671.86 and 13,661.88 is: 20,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781.61 : 83,671.86 = 13,661.88 : x
  2. Step 2: Convert to fraction form
    55,781.61/83,671.86 = 13,661.88/x
  3. Step 3: Cross multiply
    55,781.61x = 83,671.86 × 13,661.88
  4. Step 4: Simplify right side
    55,781.61x = 1,143,114,910.70
  5. Step 5: Solve for x
    x = 1,143,114,910.70/55,781.61
  6. Step 6: Final answer
    x = 20,492.68

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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.