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Finding the Fourth Proportional to 123,921, 185,881.56 and 40,821.48

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Solution

The fourth proportional to 123,921, 185,881.56 and 40,821.48 is: 61,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,921 : 185,881.56 = 40,821.48 : x
  2. Step 2: Convert to fraction form
    123,921/185,881.56 = 40,821.48/x
  3. Step 3: Cross multiply
    123,921x = 185,881.56 × 40,821.48
  4. Step 4: Simplify right side
    123,921x = 7,587,960,383.91
  5. Step 5: Solve for x
    x = 7,587,960,383.91/123,921
  6. Step 6: Final answer
    x = 61,232.24

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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.