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Finding the Fourth Proportional to 115,194.97, 158,978.51 and 64,898.65

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Solution

The fourth proportional to 115,194.97, 158,978.51 and 64,898.65 is: 89,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194.97 : 158,978.51 = 64,898.65 : x
  2. Step 2: Convert to fraction form
    115,194.97/158,978.51 = 64,898.65/x
  3. Step 3: Cross multiply
    115,194.97x = 158,978.51 × 64,898.65
  4. Step 4: Simplify right side
    115,194.97x = 10,317,490,678.01
  5. Step 5: Solve for x
    x = 10,317,490,678.01/115,194.97
  6. Step 6: Final answer
    x = 89,565.46

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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.