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Finding the Fourth Proportional to 255,121.65, 382,768.94 and 112,947.31

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Solution

The fourth proportional to 255,121.65, 382,768.94 and 112,947.31 is: 169,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,121.65 : 382,768.94 = 112,947.31 : x
  2. Step 2: Convert to fraction form
    255,121.65/382,768.94 = 112,947.31/x
  3. Step 3: Cross multiply
    255,121.65x = 382,768.94 × 112,947.31
  4. Step 4: Simplify right side
    255,121.65x = 43,232,722,885.38
  5. Step 5: Solve for x
    x = 43,232,722,885.38/255,121.65
  6. Step 6: Final answer
    x = 169,459.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.