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Finding the Fourth Proportional to 121,871.85, 182,825.10 and 37,638.87

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Solution

The fourth proportional to 121,871.85, 182,825.10 and 37,638.87 is: 56,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,871.85 : 182,825.10 = 37,638.87 : x
  2. Step 2: Convert to fraction form
    121,871.85/182,825.10 = 37,638.87/x
  3. Step 3: Cross multiply
    121,871.85x = 182,825.10 × 37,638.87
  4. Step 4: Simplify right side
    121,871.85x = 6,881,330,171.64
  5. Step 5: Solve for x
    x = 6,881,330,171.64/121,871.85
  6. Step 6: Final answer
    x = 56,463.66

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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.