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Finding the Fourth Proportional to 147,477, 221,216.34 and 36,669

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Solution

The fourth proportional to 147,477, 221,216.34 and 36,669 is: 55,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,477 : 221,216.34 = 36,669 : x
  2. Step 2: Convert to fraction form
    147,477/221,216.34 = 36,669/x
  3. Step 3: Cross multiply
    147,477x = 221,216.34 × 36,669
  4. Step 4: Simplify right side
    147,477x = 8,111,781,971.46
  5. Step 5: Solve for x
    x = 8,111,781,971.46/147,477
  6. Step 6: Final answer
    x = 55,003.71

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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.