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Finding the Fourth Proportional to 85,307, 117,723.66 and 47,581.28

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Solution

The fourth proportional to 85,307, 117,723.66 and 47,581.28 is: 65,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,307 : 117,723.66 = 47,581.28 : x
  2. Step 2: Convert to fraction form
    85,307/117,723.66 = 47,581.28/x
  3. Step 3: Cross multiply
    85,307x = 117,723.66 × 47,581.28
  4. Step 4: Simplify right side
    85,307x = 5,601,442,429.08
  5. Step 5: Solve for x
    x = 5,601,442,429.08/85,307
  6. Step 6: Final answer
    x = 65,662.17

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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.