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Finding the Fourth Proportional to 81,463.66, 112,424.29 and 45,665.17

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Solution

The fourth proportional to 81,463.66, 112,424.29 and 45,665.17 is: 63,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,463.66 : 112,424.29 = 45,665.17 : x
  2. Step 2: Convert to fraction form
    81,463.66/112,424.29 = 45,665.17/x
  3. Step 3: Cross multiply
    81,463.66x = 112,424.29 × 45,665.17
  4. Step 4: Simplify right side
    81,463.66x = 5,133,873,919.76
  5. Step 5: Solve for x
    x = 5,133,873,919.76/81,463.66
  6. Step 6: Final answer
    x = 63,020.42

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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.