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Finding the Fourth Proportional to 56,774.82, 77,781.87 and 54,646.55

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Solution

The fourth proportional to 56,774.82, 77,781.87 and 54,646.55 is: 74,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,774.82 : 77,781.87 = 54,646.55 : x
  2. Step 2: Convert to fraction form
    56,774.82/77,781.87 = 54,646.55/x
  3. Step 3: Cross multiply
    56,774.82x = 77,781.87 × 54,646.55
  4. Step 4: Simplify right side
    56,774.82x = 4,250,510,750.82
  5. Step 5: Solve for x
    x = 4,250,510,750.82/56,774.82
  6. Step 6: Final answer
    x = 74,866.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.