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Finding the Fourth Proportional to 105,920.28, 146,182.92 and 61,208.28

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Solution

The fourth proportional to 105,920.28, 146,182.92 and 61,208.28 is: 84,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920.28 : 146,182.92 = 61,208.28 : x
  2. Step 2: Convert to fraction form
    105,920.28/146,182.92 = 61,208.28/x
  3. Step 3: Cross multiply
    105,920.28x = 146,182.92 × 61,208.28
  4. Step 4: Simplify right side
    105,920.28x = 8,947,605,098.58
  5. Step 5: Solve for x
    x = 8,947,605,098.58/105,920.28
  6. Step 6: Final answer
    x = 84,474.90

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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.