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Finding the Fourth Proportional to 265,509.66, 398,178.38 and 87,969

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Solution

The fourth proportional to 265,509.66, 398,178.38 and 87,969 is: 131,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,509.66 : 398,178.38 = 87,969 : x
  2. Step 2: Convert to fraction form
    265,509.66/398,178.38 = 87,969/x
  3. Step 3: Cross multiply
    265,509.66x = 398,178.38 × 87,969
  4. Step 4: Simplify right side
    265,509.66x = 35,027,353,910.22
  5. Step 5: Solve for x
    x = 35,027,353,910.22/265,509.66
  6. Step 6: Final answer
    x = 131,924.97

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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.