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Finding the Fourth Proportional to 147,408, 221,114.40 and 42,226.56

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Solution

The fourth proportional to 147,408, 221,114.40 and 42,226.56 is: 63,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,408 : 221,114.40 = 42,226.56 : x
  2. Step 2: Convert to fraction form
    147,408/221,114.40 = 42,226.56/x
  3. Step 3: Cross multiply
    147,408x = 221,114.40 × 42,226.56
  4. Step 4: Simplify right side
    147,408x = 9,336,900,478.46
  5. Step 5: Solve for x
    x = 9,336,900,478.46/147,408
  6. Step 6: Final answer
    x = 63,340.53

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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.