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Finding the Fourth Proportional to 50,705.70, 69,978.96 and 28,046.40

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Solution

The fourth proportional to 50,705.70, 69,978.96 and 28,046.40 is: 38,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,705.70 : 69,978.96 = 28,046.40 : x
  2. Step 2: Convert to fraction form
    50,705.70/69,978.96 = 28,046.40/x
  3. Step 3: Cross multiply
    50,705.70x = 69,978.96 × 28,046.40
  4. Step 4: Simplify right side
    50,705.70x = 1,962,657,903.74
  5. Step 5: Solve for x
    x = 1,962,657,903.74/50,705.70
  6. Step 6: Final answer
    x = 38,706.85

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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.