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Finding the Fourth Proportional to 89,659.76, 123,731.40 and 49,374.32

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Solution

The fourth proportional to 89,659.76, 123,731.40 and 49,374.32 is: 68,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,659.76 : 123,731.40 = 49,374.32 : x
  2. Step 2: Convert to fraction form
    89,659.76/123,731.40 = 49,374.32/x
  3. Step 3: Cross multiply
    89,659.76x = 123,731.40 × 49,374.32
  4. Step 4: Simplify right side
    89,659.76x = 6,109,153,737.65
  5. Step 5: Solve for x
    x = 6,109,153,737.65/89,659.76
  6. Step 6: Final answer
    x = 68,137.07

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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.