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Finding the Fourth Proportional to 54,971.61, 75,854.42 and 30,773.90

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Solution

The fourth proportional to 54,971.61, 75,854.42 and 30,773.90 is: 42,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,971.61 : 75,854.42 = 30,773.90 : x
  2. Step 2: Convert to fraction form
    54,971.61/75,854.42 = 30,773.90/x
  3. Step 3: Cross multiply
    54,971.61x = 75,854.42 × 30,773.90
  4. Step 4: Simplify right side
    54,971.61x = 2,334,336,446.57
  5. Step 5: Solve for x
    x = 2,334,336,446.57/54,971.61
  6. Step 6: Final answer
    x = 42,464.40

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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.