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Finding the Fourth Proportional to 107,159.87, 160,724.00 and 28,279.64

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Solution

The fourth proportional to 107,159.87, 160,724.00 and 28,279.64 is: 42,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,159.87 : 160,724.00 = 28,279.64 : x
  2. Step 2: Convert to fraction form
    107,159.87/160,724.00 = 28,279.64/x
  3. Step 3: Cross multiply
    107,159.87x = 160,724.00 × 28,279.64
  4. Step 4: Simplify right side
    107,159.87x = 4,545,215,914.34
  5. Step 5: Solve for x
    x = 4,545,215,914.34/107,159.87
  6. Step 6: Final answer
    x = 42,415.28

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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.