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Finding the Fourth Proportional to 136,971, 205,456.57 and 43,476.75

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Solution

The fourth proportional to 136,971, 205,456.57 and 43,476.75 is: 65,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,971 : 205,456.57 = 43,476.75 : x
  2. Step 2: Convert to fraction form
    136,971/205,456.57 = 43,476.75/x
  3. Step 3: Cross multiply
    136,971x = 205,456.57 × 43,476.75
  4. Step 4: Simplify right side
    136,971x = 8,932,583,821.06
  5. Step 5: Solve for x
    x = 8,932,583,821.06/136,971
  6. Step 6: Final answer
    x = 65,215.15

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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.