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Finding the Fourth Proportional to 56,265.84, 77,648.22 and 30,774.60

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Solution

The fourth proportional to 56,265.84, 77,648.22 and 30,774.60 is: 42,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,265.84 : 77,648.22 = 30,774.60 : x
  2. Step 2: Convert to fraction form
    56,265.84/77,648.22 = 30,774.60/x
  3. Step 3: Cross multiply
    56,265.84x = 77,648.22 × 30,774.60
  4. Step 4: Simplify right side
    56,265.84x = 2,389,592,911.21
  5. Step 5: Solve for x
    x = 2,389,592,911.21/56,265.84
  6. Step 6: Final answer
    x = 42,469.69

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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.