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Finding the Fourth Proportional to 115,728.40, 173,252.40 and 86,276.80

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Solution

The fourth proportional to 115,728.40, 173,252.40 and 86,276.80 is: 129,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,728.40 : 173,252.40 = 86,276.80 : x
  2. Step 2: Convert to fraction form
    115,728.40/173,252.40 = 86,276.80/x
  3. Step 3: Cross multiply
    115,728.40x = 173,252.40 × 86,276.80
  4. Step 4: Simplify right side
    115,728.40x = 14,947,662,664.32
  5. Step 5: Solve for x
    x = 14,947,662,664.32/115,728.40
  6. Step 6: Final answer
    x = 129,161.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.