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Finding the Fourth Proportional to 147,409, 221,148.06 and 48,913

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Solution

The fourth proportional to 147,409, 221,148.06 and 48,913 is: 73,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,409 : 221,148.06 = 48,913 : x
  2. Step 2: Convert to fraction form
    147,409/221,148.06 = 48,913/x
  3. Step 3: Cross multiply
    147,409x = 221,148.06 × 48,913
  4. Step 4: Simplify right side
    147,409x = 10,817,015,058.78
  5. Step 5: Solve for x
    x = 10,817,015,058.78/147,409
  6. Step 6: Final answer
    x = 73,380.97

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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.