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Finding the Fourth Proportional to 85,490, 117,976.20 and 47,767.76

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Solution

The fourth proportional to 85,490, 117,976.20 and 47,767.76 is: 65,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,490 : 117,976.20 = 47,767.76 : x
  2. Step 2: Convert to fraction form
    85,490/117,976.20 = 47,767.76/x
  3. Step 3: Cross multiply
    85,490x = 117,976.20 × 47,767.76
  4. Step 4: Simplify right side
    85,490x = 5,635,458,807.31
  5. Step 5: Solve for x
    x = 5,635,458,807.31/85,490
  6. Step 6: Final answer
    x = 65,919.51

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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.