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Finding the Fourth Proportional to 147,489, 221,214.66 and 47,638.82

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Solution

The fourth proportional to 147,489, 221,214.66 and 47,638.82 is: 71,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,489 : 221,214.66 = 47,638.82 : x
  2. Step 2: Convert to fraction form
    147,489/221,214.66 = 47,638.82/x
  3. Step 3: Cross multiply
    147,489x = 221,214.66 × 47,638.82
  4. Step 4: Simplify right side
    147,489x = 10,538,404,263.03
  5. Step 5: Solve for x
    x = 10,538,404,263.03/147,489
  6. Step 6: Final answer
    x = 71,452.14

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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.