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Finding the Fourth Proportional to 85,454.17, 117,916.70 and 47,211.44

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Solution

The fourth proportional to 85,454.17, 117,916.70 and 47,211.44 is: 65,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454.17 : 117,916.70 = 47,211.44 : x
  2. Step 2: Convert to fraction form
    85,454.17/117,916.70 = 47,211.44/x
  3. Step 3: Cross multiply
    85,454.17x = 117,916.70 × 47,211.44
  4. Step 4: Simplify right side
    85,454.17x = 5,567,017,207.05
  5. Step 5: Solve for x
    x = 5,567,017,207.05/85,454.17
  6. Step 6: Final answer
    x = 65,146.23

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1.5x scale

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.