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Finding the Fourth Proportional to 103,071.33, 155,309.10 and 84,761.48

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Solution

The fourth proportional to 103,071.33, 155,309.10 and 84,761.48 is: 127,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,071.33 : 155,309.10 = 84,761.48 : x
  2. Step 2: Convert to fraction form
    103,071.33/155,309.10 = 84,761.48/x
  3. Step 3: Cross multiply
    103,071.33x = 155,309.10 × 84,761.48
  4. Step 4: Simplify right side
    103,071.33x = 13,164,228,396.92
  5. Step 5: Solve for x
    x = 13,164,228,396.92/103,071.33
  6. Step 6: Final answer
    x = 127,719.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.