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Finding the Fourth Proportional to 125,827, 188,769.66 and 42,721

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Solution

The fourth proportional to 125,827, 188,769.66 and 42,721 is: 64,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,827 : 188,769.66 = 42,721 : x
  2. Step 2: Convert to fraction form
    125,827/188,769.66 = 42,721/x
  3. Step 3: Cross multiply
    125,827x = 188,769.66 × 42,721
  4. Step 4: Simplify right side
    125,827x = 8,064,428,644.86
  5. Step 5: Solve for x
    x = 8,064,428,644.86/125,827
  6. Step 6: Final answer
    x = 64,091.40

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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.