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Finding the Fourth Proportional to 213,276.85, 319,727.86 and 87,023.41

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Solution

The fourth proportional to 213,276.85, 319,727.86 and 87,023.41 is: 130,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,276.85 : 319,727.86 = 87,023.41 : x
  2. Step 2: Convert to fraction form
    213,276.85/319,727.86 = 87,023.41/x
  3. Step 3: Cross multiply
    213,276.85x = 319,727.86 × 87,023.41
  4. Step 4: Simplify right side
    213,276.85x = 27,823,809,430.79
  5. Step 5: Solve for x
    x = 27,823,809,430.79/213,276.85
  6. Step 6: Final answer
    x = 130,458.65

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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.