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Finding the Fourth Proportional to 81,981, 113,114.34 and 46,163.88

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Solution

The fourth proportional to 81,981, 113,114.34 and 46,163.88 is: 63,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981 : 113,114.34 = 46,163.88 : x
  2. Step 2: Convert to fraction form
    81,981/113,114.34 = 46,163.88/x
  3. Step 3: Cross multiply
    81,981x = 113,114.34 × 46,163.88
  4. Step 4: Simplify right side
    81,981x = 5,221,796,818.04
  5. Step 5: Solve for x
    x = 5,221,796,818.04/81,981
  6. Step 6: Final answer
    x = 63,695.21

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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.