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Finding the Fourth Proportional to 84,642.90, 127,005.91 and 34,039.88

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Solution

The fourth proportional to 84,642.90, 127,005.91 and 34,039.88 is: 51,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.90 : 127,005.91 = 34,039.88 : x
  2. Step 2: Convert to fraction form
    84,642.90/127,005.91 = 34,039.88/x
  3. Step 3: Cross multiply
    84,642.90x = 127,005.91 × 34,039.88
  4. Step 4: Simplify right side
    84,642.90x = 4,323,265,935.69
  5. Step 5: Solve for x
    x = 4,323,265,935.69/84,642.90
  6. Step 6: Final answer
    x = 51,076.53

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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.