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Finding the Fourth Proportional to 115,844.64, 159,762.96 and 78,169.92

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Solution

The fourth proportional to 115,844.64, 159,762.96 and 78,169.92 is: 107,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,844.64 : 159,762.96 = 78,169.92 : x
  2. Step 2: Convert to fraction form
    115,844.64/159,762.96 = 78,169.92/x
  3. Step 3: Cross multiply
    115,844.64x = 159,762.96 × 78,169.92
  4. Step 4: Simplify right side
    115,844.64x = 12,488,657,802.16
  5. Step 5: Solve for x
    x = 12,488,657,802.16/115,844.64
  6. Step 6: Final answer
    x = 107,805.23

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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.