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Finding the Fourth Proportional to 85,482, 117,963 and 47,756.52

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Solution

The fourth proportional to 85,482, 117,963 and 47,756.52 is: 65,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,482 : 117,963 = 47,756.52 : x
  2. Step 2: Convert to fraction form
    85,482/117,963 = 47,756.52/x
  3. Step 3: Cross multiply
    85,482x = 117,963 × 47,756.52
  4. Step 4: Simplify right side
    85,482x = 5,633,502,368.76
  5. Step 5: Solve for x
    x = 5,633,502,368.76/85,482
  6. Step 6: Final answer
    x = 65,902.79

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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.