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Finding the Fourth Proportional to 107,178.78, 147,736.26 and 84,480.96

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Solution

The fourth proportional to 107,178.78, 147,736.26 and 84,480.96 is: 116,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,178.78 : 147,736.26 = 84,480.96 : x
  2. Step 2: Convert to fraction form
    107,178.78/147,736.26 = 84,480.96/x
  3. Step 3: Cross multiply
    107,178.78x = 147,736.26 × 84,480.96
  4. Step 4: Simplify right side
    107,178.78x = 12,480,901,071.61
  5. Step 5: Solve for x
    x = 12,480,901,071.61/107,178.78
  6. Step 6: Final answer
    x = 116,449.37

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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.