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Finding the Fourth Proportional to 100,564.98, 138,764.26 and 58,115.32

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Solution

The fourth proportional to 100,564.98, 138,764.26 and 58,115.32 is: 80,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.98 : 138,764.26 = 58,115.32 : x
  2. Step 2: Convert to fraction form
    100,564.98/138,764.26 = 58,115.32/x
  3. Step 3: Cross multiply
    100,564.98x = 138,764.26 × 58,115.32
  4. Step 4: Simplify right side
    100,564.98x = 8,064,329,374.46
  5. Step 5: Solve for x
    x = 8,064,329,374.46/100,564.98
  6. Step 6: Final answer
    x = 80,190.23

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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.