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Finding the Fourth Proportional to 81,705.93, 112,754.24 and 45,895.96

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Solution

The fourth proportional to 81,705.93, 112,754.24 and 45,895.96 is: 63,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.93 : 112,754.24 = 45,895.96 : x
  2. Step 2: Convert to fraction form
    81,705.93/112,754.24 = 45,895.96/x
  3. Step 3: Cross multiply
    81,705.93x = 112,754.24 × 45,895.96
  4. Step 4: Simplify right side
    81,705.93x = 5,174,963,859.39
  5. Step 5: Solve for x
    x = 5,174,963,859.39/81,705.93
  6. Step 6: Final answer
    x = 63,336.46

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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.