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Finding the Fourth Proportional to 56,468.20, 77,895.78 and 38,564.20

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Solution

The fourth proportional to 56,468.20, 77,895.78 and 38,564.20 is: 53,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,468.20 : 77,895.78 = 38,564.20 : x
  2. Step 2: Convert to fraction form
    56,468.20/77,895.78 = 38,564.20/x
  3. Step 3: Cross multiply
    56,468.20x = 77,895.78 × 38,564.20
  4. Step 4: Simplify right side
    56,468.20x = 3,003,988,439.08
  5. Step 5: Solve for x
    x = 3,003,988,439.08/56,468.20
  6. Step 6: Final answer
    x = 53,197.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.