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Finding the Fourth Proportional to 85,273.75, 117,681.42 and 47,548

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Solution

The fourth proportional to 85,273.75, 117,681.42 and 47,548 is: 65,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,273.75 : 117,681.42 = 47,548 : x
  2. Step 2: Convert to fraction form
    85,273.75/117,681.42 = 47,548/x
  3. Step 3: Cross multiply
    85,273.75x = 117,681.42 × 47,548
  4. Step 4: Simplify right side
    85,273.75x = 5,595,516,158.16
  5. Step 5: Solve for x
    x = 5,595,516,158.16/85,273.75
  6. Step 6: Final answer
    x = 65,618.27

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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.