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Finding the Fourth Proportional to 213,278.85, 319,730.86 and 87,025.41

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Solution

The fourth proportional to 213,278.85, 319,730.86 and 87,025.41 is: 130,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,278.85 : 319,730.86 = 87,025.41 : x
  2. Step 2: Convert to fraction form
    213,278.85/319,730.86 = 87,025.41/x
  3. Step 3: Cross multiply
    213,278.85x = 319,730.86 × 87,025.41
  4. Step 4: Simplify right side
    213,278.85x = 27,824,709,181.15
  5. Step 5: Solve for x
    x = 27,824,709,181.15/213,278.85
  6. Step 6: Final answer
    x = 130,461.64

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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.