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Finding the Fourth Proportional to 121,743, 182,643.66 and 38,637

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Solution

The fourth proportional to 121,743, 182,643.66 and 38,637 is: 57,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,743 : 182,643.66 = 38,637 : x
  2. Step 2: Convert to fraction form
    121,743/182,643.66 = 38,637/x
  3. Step 3: Cross multiply
    121,743x = 182,643.66 × 38,637
  4. Step 4: Simplify right side
    121,743x = 7,056,803,091.42
  5. Step 5: Solve for x
    x = 7,056,803,091.42/121,743
  6. Step 6: Final answer
    x = 57,964.75

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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.