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Finding the Fourth Proportional to 213,148.40, 319,722.56 and 63,388.08

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Solution

The fourth proportional to 213,148.40, 319,722.56 and 63,388.08 is: 95,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,148.40 : 319,722.56 = 63,388.08 : x
  2. Step 2: Convert to fraction form
    213,148.40/319,722.56 = 63,388.08/x
  3. Step 3: Cross multiply
    213,148.40x = 319,722.56 × 63,388.08
  4. Step 4: Simplify right side
    213,148.40x = 20,266,599,211.08
  5. Step 5: Solve for x
    x = 20,266,599,211.08/213,148.40
  6. Step 6: Final answer
    x = 95,082.11

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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.