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Finding the Fourth Proportional to 81,688.68, 112,728.24 and 45,876.96

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Solution

The fourth proportional to 81,688.68, 112,728.24 and 45,876.96 is: 63,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,688.68 : 112,728.24 = 45,876.96 : x
  2. Step 2: Convert to fraction form
    81,688.68/112,728.24 = 45,876.96/x
  3. Step 3: Cross multiply
    81,688.68x = 112,728.24 × 45,876.96
  4. Step 4: Simplify right side
    81,688.68x = 5,171,628,957.35
  5. Step 5: Solve for x
    x = 5,171,628,957.35/81,688.68
  6. Step 6: Final answer
    x = 63,309.00

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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.