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Finding the Fourth Proportional to 148,911, 223,366.50 and 38,103

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Solution

The fourth proportional to 148,911, 223,366.50 and 38,103 is: 57,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,911 : 223,366.50 = 38,103 : x
  2. Step 2: Convert to fraction form
    148,911/223,366.50 = 38,103/x
  3. Step 3: Cross multiply
    148,911x = 223,366.50 × 38,103
  4. Step 4: Simplify right side
    148,911x = 8,510,933,749.50
  5. Step 5: Solve for x
    x = 8,510,933,749.50/148,911
  6. Step 6: Final answer
    x = 57,154.50

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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.