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Finding the Fourth Proportional to 51,435.70, 70,978.40 and 28,770.31

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Solution

The fourth proportional to 51,435.70, 70,978.40 and 28,770.31 is: 39,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,435.70 : 70,978.40 = 28,770.31 : x
  2. Step 2: Convert to fraction form
    51,435.70/70,978.40 = 28,770.31/x
  3. Step 3: Cross multiply
    51,435.70x = 70,978.40 × 28,770.31
  4. Step 4: Simplify right side
    51,435.70x = 2,042,070,250.01
  5. Step 5: Solve for x
    x = 2,042,070,250.01/51,435.70
  6. Step 6: Final answer
    x = 39,701.42

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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.