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Finding the Fourth Proportional to 212,886.76, 319,396.42 and 63,127.84

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Solution

The fourth proportional to 212,886.76, 319,396.42 and 63,127.84 is: 94,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,886.76 : 319,396.42 = 63,127.84 : x
  2. Step 2: Convert to fraction form
    212,886.76/319,396.42 = 63,127.84/x
  3. Step 3: Cross multiply
    212,886.76x = 319,396.42 × 63,127.84
  4. Step 4: Simplify right side
    212,886.76x = 20,162,806,098.33
  5. Step 5: Solve for x
    x = 20,162,806,098.33/212,886.76
  6. Step 6: Final answer
    x = 94,711.41

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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.