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Finding the Fourth Proportional to 115,225.56, 158,978.16 and 74,998.52

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Solution

The fourth proportional to 115,225.56, 158,978.16 and 74,998.52 is: 103,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,225.56 : 158,978.16 = 74,998.52 : x
  2. Step 2: Convert to fraction form
    115,225.56/158,978.16 = 74,998.52/x
  3. Step 3: Cross multiply
    115,225.56x = 158,978.16 × 74,998.52
  4. Step 4: Simplify right side
    115,225.56x = 11,923,126,712.32
  5. Step 5: Solve for x
    x = 11,923,126,712.32/115,225.56
  6. Step 6: Final answer
    x = 103,476.40

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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.