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Finding the Fourth Proportional to 148,907.38, 205,492.85 and 81,843.70

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Solution

The fourth proportional to 148,907.38, 205,492.85 and 81,843.70 is: 112,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,907.38 : 205,492.85 = 81,843.70 : x
  2. Step 2: Convert to fraction form
    148,907.38/205,492.85 = 81,843.70/x
  3. Step 3: Cross multiply
    148,907.38x = 205,492.85 × 81,843.70
  4. Step 4: Simplify right side
    148,907.38x = 16,818,295,167.55
  5. Step 5: Solve for x
    x = 16,818,295,167.55/148,907.38
  6. Step 6: Final answer
    x = 112,944.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.