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Finding the Fourth Proportional to 82,474.30, 123,746.54 and 55,850.31

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Solution

The fourth proportional to 82,474.30, 123,746.54 and 55,850.31 is: 83,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,474.30 : 123,746.54 = 55,850.31 : x
  2. Step 2: Convert to fraction form
    82,474.30/123,746.54 = 55,850.31/x
  3. Step 3: Cross multiply
    82,474.30x = 123,746.54 × 55,850.31
  4. Step 4: Simplify right side
    82,474.30x = 6,911,282,341.18
  5. Step 5: Solve for x
    x = 6,911,282,341.18/82,474.30
  6. Step 6: Final answer
    x = 83,799.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.