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Finding the Fourth Proportional to 85,416.56, 117,882.15 and 47,698.10

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Solution

The fourth proportional to 85,416.56, 117,882.15 and 47,698.10 is: 65,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416.56 : 117,882.15 = 47,698.10 : x
  2. Step 2: Convert to fraction form
    85,416.56/117,882.15 = 47,698.10/x
  3. Step 3: Cross multiply
    85,416.56x = 117,882.15 × 47,698.10
  4. Step 4: Simplify right side
    85,416.56x = 5,622,754,694.75
  5. Step 5: Solve for x
    x = 5,622,754,694.75/85,416.56
  6. Step 6: Final answer
    x = 65,827.45

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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.