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Finding the Fourth Proportional to 213,238.60, 319,712.10 and 100,972.60

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Solution

The fourth proportional to 213,238.60, 319,712.10 and 100,972.60 is: 151,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,238.60 : 319,712.10 = 100,972.60 : x
  2. Step 2: Convert to fraction form
    213,238.60/319,712.10 = 100,972.60/x
  3. Step 3: Cross multiply
    213,238.60x = 319,712.10 × 100,972.60
  4. Step 4: Simplify right side
    213,238.60x = 32,282,161,988.46
  5. Step 5: Solve for x
    x = 32,282,161,988.46/213,238.60
  6. Step 6: Final answer
    x = 151,389.86

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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.