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Finding the Fourth Proportional to 80,783.83, 121,175.80 and 38,654.01

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Solution

The fourth proportional to 80,783.83, 121,175.80 and 38,654.01 is: 57,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,783.83 : 121,175.80 = 38,654.01 : x
  2. Step 2: Convert to fraction form
    80,783.83/121,175.80 = 38,654.01/x
  3. Step 3: Cross multiply
    80,783.83x = 121,175.80 × 38,654.01
  4. Step 4: Simplify right side
    80,783.83x = 4,683,930,488.32
  5. Step 5: Solve for x
    x = 4,683,930,488.32/80,783.83
  6. Step 6: Final answer
    x = 57,981.04

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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.