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Finding the Fourth Proportional to 147,928, 221,892 and 49,432

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Solution

The fourth proportional to 147,928, 221,892 and 49,432 is: 74,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,928 : 221,892 = 49,432 : x
  2. Step 2: Convert to fraction form
    147,928/221,892 = 49,432/x
  3. Step 3: Cross multiply
    147,928x = 221,892 × 49,432
  4. Step 4: Simplify right side
    147,928x = 10,968,565,344
  5. Step 5: Solve for x
    x = 10,968,565,344/147,928
  6. Step 6: Final answer
    x = 74,148

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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.