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Finding the Fourth Proportional to 54,657.77, 81,859.07 and 42,077.96

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Solution

The fourth proportional to 54,657.77, 81,859.07 and 42,077.96 is: 63,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.77 : 81,859.07 = 42,077.96 : x
  2. Step 2: Convert to fraction form
    54,657.77/81,859.07 = 42,077.96/x
  3. Step 3: Cross multiply
    54,657.77x = 81,859.07 × 42,077.96
  4. Step 4: Simplify right side
    54,657.77x = 3,444,462,675.97
  5. Step 5: Solve for x
    x = 3,444,462,675.97/54,657.77
  6. Step 6: Final answer
    x = 63,018.73

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Why These Related Problems?

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