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Finding the Fourth Proportional to 147,424, 221,136 and 48,928

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Solution

The fourth proportional to 147,424, 221,136 and 48,928 is: 73,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,424 : 221,136 = 48,928 : x
  2. Step 2: Convert to fraction form
    147,424/221,136 = 48,928/x
  3. Step 3: Cross multiply
    147,424x = 221,136 × 48,928
  4. Step 4: Simplify right side
    147,424x = 10,819,742,208
  5. Step 5: Solve for x
    x = 10,819,742,208/147,424
  6. Step 6: Final answer
    x = 73,392

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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.