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Finding the Fourth Proportional to 85,366.98, 117,809.64 and 47,648.52

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Solution

The fourth proportional to 85,366.98, 117,809.64 and 47,648.52 is: 65,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,366.98 : 117,809.64 = 47,648.52 : x
  2. Step 2: Convert to fraction form
    85,366.98/117,809.64 = 47,648.52/x
  3. Step 3: Cross multiply
    85,366.98x = 117,809.64 × 47,648.52
  4. Step 4: Simplify right side
    85,366.98x = 5,613,454,987.73
  5. Step 5: Solve for x
    x = 5,613,454,987.73/85,366.98
  6. Step 6: Final answer
    x = 65,756.75

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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.