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Finding the Fourth Proportional to 85,376.94, 117,809.31 and 47,652.78

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Solution

The fourth proportional to 85,376.94, 117,809.31 and 47,652.78 is: 65,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376.94 : 117,809.31 = 47,652.78 : x
  2. Step 2: Convert to fraction form
    85,376.94/117,809.31 = 47,652.78/x
  3. Step 3: Cross multiply
    85,376.94x = 117,809.31 × 47,652.78
  4. Step 4: Simplify right side
    85,376.94x = 5,613,941,131.38
  5. Step 5: Solve for x
    x = 5,613,941,131.38/85,376.94
  6. Step 6: Final answer
    x = 65,754.77

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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.