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Finding the Fourth Proportional to 115,978.14, 159,939.63 and 75,679.02

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Solution

The fourth proportional to 115,978.14, 159,939.63 and 75,679.02 is: 104,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,978.14 : 159,939.63 = 75,679.02 : x
  2. Step 2: Convert to fraction form
    115,978.14/159,939.63 = 75,679.02/x
  3. Step 3: Cross multiply
    115,978.14x = 159,939.63 × 75,679.02
  4. Step 4: Simplify right side
    115,978.14x = 12,104,074,457.56
  5. Step 5: Solve for x
    x = 12,104,074,457.56/115,978.14
  6. Step 6: Final answer
    x = 104,365.14

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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.