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Finding the Fourth Proportional to 85,368.57, 117,808.50 and 47,642.82

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Solution

The fourth proportional to 85,368.57, 117,808.50 and 47,642.82 is: 65,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,368.57 : 117,808.50 = 47,642.82 : x
  2. Step 2: Convert to fraction form
    85,368.57/117,808.50 = 47,642.82/x
  3. Step 3: Cross multiply
    85,368.57x = 117,808.50 × 47,642.82
  4. Step 4: Simplify right side
    85,368.57x = 5,612,729,159.97
  5. Step 5: Solve for x
    x = 5,612,729,159.97/85,368.57
  6. Step 6: Final answer
    x = 65,747.02

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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.