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Finding the Fourth Proportional to 100,554.32, 138,761.16 and 55,845.20

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Solution

The fourth proportional to 100,554.32, 138,761.16 and 55,845.20 is: 77,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,554.32 : 138,761.16 = 55,845.20 : x
  2. Step 2: Convert to fraction form
    100,554.32/138,761.16 = 55,845.20/x
  3. Step 3: Cross multiply
    100,554.32x = 138,761.16 × 55,845.20
  4. Step 4: Simplify right side
    100,554.32x = 7,749,144,732.43
  5. Step 5: Solve for x
    x = 7,749,144,732.43/100,554.32
  6. Step 6: Final answer
    x = 77,064.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.