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Finding the Fourth Proportional to 106,127.64, 158,845.32 and 78,040.08

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Solution

The fourth proportional to 106,127.64, 158,845.32 and 78,040.08 is: 116,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,127.64 : 158,845.32 = 78,040.08 : x
  2. Step 2: Convert to fraction form
    106,127.64/158,845.32 = 78,040.08/x
  3. Step 3: Cross multiply
    106,127.64x = 158,845.32 × 78,040.08
  4. Step 4: Simplify right side
    106,127.64x = 12,396,301,480.43
  5. Step 5: Solve for x
    x = 12,396,301,480.43/106,127.64
  6. Step 6: Final answer
    x = 116,805.59

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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.