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Finding the Fourth Proportional to 119,787.52, 165,273.60 and 77,347.84

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Solution

The fourth proportional to 119,787.52, 165,273.60 and 77,347.84 is: 106,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,787.52 : 165,273.60 = 77,347.84 : x
  2. Step 2: Convert to fraction form
    119,787.52/165,273.60 = 77,347.84/x
  3. Step 3: Cross multiply
    119,787.52x = 165,273.60 × 77,347.84
  4. Step 4: Simplify right side
    119,787.52x = 12,783,555,969.02
  5. Step 5: Solve for x
    x = 12,783,555,969.02/119,787.52
  6. Step 6: Final answer
    x = 106,718.60

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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.