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Finding the Fourth Proportional to 81,614.16, 112,645.44 and 49,776.48

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Solution

The fourth proportional to 81,614.16, 112,645.44 and 49,776.48 is: 68,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,614.16 : 112,645.44 = 49,776.48 : x
  2. Step 2: Convert to fraction form
    81,614.16/112,645.44 = 49,776.48/x
  3. Step 3: Cross multiply
    81,614.16x = 112,645.44 × 49,776.48
  4. Step 4: Simplify right side
    81,614.16x = 5,607,093,491.25
  5. Step 5: Solve for x
    x = 5,607,093,491.25/81,614.16
  6. Step 6: Final answer
    x = 68,702.46

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1.5x scale

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.