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Finding the Fourth Proportional to 265,643.64, 398,523.84 and 78,669.72

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Solution

The fourth proportional to 265,643.64, 398,523.84 and 78,669.72 is: 118,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,643.64 : 398,523.84 = 78,669.72 : x
  2. Step 2: Convert to fraction form
    265,643.64/398,523.84 = 78,669.72/x
  3. Step 3: Cross multiply
    265,643.64x = 398,523.84 × 78,669.72
  4. Step 4: Simplify right side
    265,643.64x = 31,351,758,906.12
  5. Step 5: Solve for x
    x = 31,351,758,906.12/265,643.64
  6. Step 6: Final answer
    x = 118,021.87

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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.