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Finding the Fourth Proportional to 115,739.69, 159,787.69 and 77,007.92

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Solution

The fourth proportional to 115,739.69, 159,787.69 and 77,007.92 is: 106,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,739.69 : 159,787.69 = 77,007.92 : x
  2. Step 2: Convert to fraction form
    115,739.69/159,787.69 = 77,007.92/x
  3. Step 3: Cross multiply
    115,739.69x = 159,787.69 × 77,007.92
  4. Step 4: Simplify right side
    115,739.69x = 12,304,916,657.05
  5. Step 5: Solve for x
    x = 12,304,916,657.05/115,739.69
  6. Step 6: Final answer
    x = 106,315.45

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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.