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Finding the Fourth Proportional to 81,353.80, 122,030.70 and 51,902.20

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Solution

The fourth proportional to 81,353.80, 122,030.70 and 51,902.20 is: 77,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,353.80 : 122,030.70 = 51,902.20 : x
  2. Step 2: Convert to fraction form
    81,353.80/122,030.70 = 51,902.20/x
  3. Step 3: Cross multiply
    81,353.80x = 122,030.70 × 51,902.20
  4. Step 4: Simplify right side
    81,353.80x = 6,333,661,797.54
  5. Step 5: Solve for x
    x = 6,333,661,797.54/81,353.80
  6. Step 6: Final answer
    x = 77,853.30

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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.