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Finding the Fourth Proportional to 78,163.28, 117,231.16 and 22,746.32

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Solution

The fourth proportional to 78,163.28, 117,231.16 and 22,746.32 is: 34,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.28 : 117,231.16 = 22,746.32 : x
  2. Step 2: Convert to fraction form
    78,163.28/117,231.16 = 22,746.32/x
  3. Step 3: Cross multiply
    78,163.28x = 117,231.16 × 22,746.32
  4. Step 4: Simplify right side
    78,163.28x = 2,666,577,479.33
  5. Step 5: Solve for x
    x = 2,666,577,479.33/78,163.28
  6. Step 6: Final answer
    x = 34,115.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.