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Finding the Fourth Proportional to 54,703.76, 82,055.57 and 19,643.45

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Solution

The fourth proportional to 54,703.76, 82,055.57 and 19,643.45 is: 29,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.76 : 82,055.57 = 19,643.45 : x
  2. Step 2: Convert to fraction form
    54,703.76/82,055.57 = 19,643.45/x
  3. Step 3: Cross multiply
    54,703.76x = 82,055.57 × 19,643.45
  4. Step 4: Simplify right side
    54,703.76x = 1,611,853,978.02
  5. Step 5: Solve for x
    x = 1,611,853,978.02/54,703.76
  6. Step 6: Final answer
    x = 29,465.14

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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.