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Finding the Fourth Proportional to 52,120.40, 78,161.12 and 20,945.12

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Solution

The fourth proportional to 52,120.40, 78,161.12 and 20,945.12 is: 31,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120.40 : 78,161.12 = 20,945.12 : x
  2. Step 2: Convert to fraction form
    52,120.40/78,161.12 = 20,945.12/x
  3. Step 3: Cross multiply
    52,120.40x = 78,161.12 × 20,945.12
  4. Step 4: Simplify right side
    52,120.40x = 1,637,094,037.73
  5. Step 5: Solve for x
    x = 1,637,094,037.73/52,120.40
  6. Step 6: Final answer
    x = 31,409.85

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1.5x scale

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.