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Finding the Fourth Proportional to 212,663.36, 319,044.42 and 72,423.20

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Solution

The fourth proportional to 212,663.36, 319,044.42 and 72,423.20 is: 108,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,663.36 : 319,044.42 = 72,423.20 : x
  2. Step 2: Convert to fraction form
    212,663.36/319,044.42 = 72,423.20/x
  3. Step 3: Cross multiply
    212,663.36x = 319,044.42 × 72,423.20
  4. Step 4: Simplify right side
    212,663.36x = 23,106,217,838.54
  5. Step 5: Solve for x
    x = 23,106,217,838.54/212,663.36
  6. Step 6: Final answer
    x = 108,651.62

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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.