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Finding the Fourth Proportional to 51,398.60, 77,040.30 and 21,811.40

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Solution

The fourth proportional to 51,398.60, 77,040.30 and 21,811.40 is: 32,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398.60 : 77,040.30 = 21,811.40 : x
  2. Step 2: Convert to fraction form
    51,398.60/77,040.30 = 21,811.40/x
  3. Step 3: Cross multiply
    51,398.60x = 77,040.30 × 21,811.40
  4. Step 4: Simplify right side
    51,398.60x = 1,680,356,799.42
  5. Step 5: Solve for x
    x = 1,680,356,799.42/51,398.60
  6. Step 6: Final answer
    x = 32,692.66

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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.