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Finding the Fourth Proportional to 56,265.33, 77,643.01 and 30,766.64

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Solution

The fourth proportional to 56,265.33, 77,643.01 and 30,766.64 is: 42,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,265.33 : 77,643.01 = 30,766.64 : x
  2. Step 2: Convert to fraction form
    56,265.33/77,643.01 = 30,766.64/x
  3. Step 3: Cross multiply
    56,265.33x = 77,643.01 × 30,766.64
  4. Step 4: Simplify right side
    56,265.33x = 2,388,814,537.19
  5. Step 5: Solve for x
    x = 2,388,814,537.19/56,265.33
  6. Step 6: Final answer
    x = 42,456.24

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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.