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Finding the Fourth Proportional to 54,791.40, 82,284.30 and 42,341.70

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Solution

The fourth proportional to 54,791.40, 82,284.30 and 42,341.70 is: 63,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,791.40 : 82,284.30 = 42,341.70 : x
  2. Step 2: Convert to fraction form
    54,791.40/82,284.30 = 42,341.70/x
  3. Step 3: Cross multiply
    54,791.40x = 82,284.30 × 42,341.70
  4. Step 4: Simplify right side
    54,791.40x = 3,484,057,145.31
  5. Step 5: Solve for x
    x = 3,484,057,145.31/54,791.40
  6. Step 6: Final answer
    x = 63,587.66

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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.