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Finding the Fourth Proportional to 213,298.56, 319,946.22 and 88,639.56

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Solution

The fourth proportional to 213,298.56, 319,946.22 and 88,639.56 is: 132,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,298.56 : 319,946.22 = 88,639.56 : x
  2. Step 2: Convert to fraction form
    213,298.56/319,946.22 = 88,639.56/x
  3. Step 3: Cross multiply
    213,298.56x = 319,946.22 × 88,639.56
  4. Step 4: Simplify right side
    213,298.56x = 28,359,892,164.46
  5. Step 5: Solve for x
    x = 28,359,892,164.46/213,298.56
  6. Step 6: Final answer
    x = 132,958.67

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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.