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Finding the Fourth Proportional to 115,107.60, 158,872.98 and 77,359.98

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Solution

The fourth proportional to 115,107.60, 158,872.98 and 77,359.98 is: 106,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,107.60 : 158,872.98 = 77,359.98 : x
  2. Step 2: Convert to fraction form
    115,107.60/158,872.98 = 77,359.98/x
  3. Step 3: Cross multiply
    115,107.60x = 158,872.98 × 77,359.98
  4. Step 4: Simplify right side
    115,107.60x = 12,290,410,555.34
  5. Step 5: Solve for x
    x = 12,290,410,555.34/115,107.60
  6. Step 6: Final answer
    x = 106,773.23

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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.