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Finding the Fourth Proportional to 265,685.94, 398,591.22 and 105,771.66

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Solution

The fourth proportional to 265,685.94, 398,591.22 and 105,771.66 is: 158,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,685.94 : 398,591.22 = 105,771.66 : x
  2. Step 2: Convert to fraction form
    265,685.94/398,591.22 = 105,771.66/x
  3. Step 3: Cross multiply
    265,685.94x = 398,591.22 × 105,771.66
  4. Step 4: Simplify right side
    265,685.94x = 42,159,655,000.83
  5. Step 5: Solve for x
    x = 42,159,655,000.83/265,685.94
  6. Step 6: Final answer
    x = 158,682.30

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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.