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Finding the Fourth Proportional to 212,875.76, 319,363.68 and 72,634.88

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Solution

The fourth proportional to 212,875.76, 319,363.68 and 72,634.88 is: 108,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,875.76 : 319,363.68 = 72,634.88 : x
  2. Step 2: Convert to fraction form
    212,875.76/319,363.68 = 72,634.88/x
  3. Step 3: Cross multiply
    212,875.76x = 319,363.68 × 72,634.88
  4. Step 4: Simplify right side
    212,875.76x = 23,196,942,573.16
  5. Step 5: Solve for x
    x = 23,196,942,573.16/212,875.76
  6. Step 6: Final answer
    x = 108,969.39

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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.