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Finding the Fourth Proportional to 84,157.61, 126,203.47 and 31,538.39

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Solution

The fourth proportional to 84,157.61, 126,203.47 and 31,538.39 is: 47,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,157.61 : 126,203.47 = 31,538.39 : x
  2. Step 2: Convert to fraction form
    84,157.61/126,203.47 = 31,538.39/x
  3. Step 3: Cross multiply
    84,157.61x = 126,203.47 × 31,538.39
  4. Step 4: Simplify right side
    84,157.61x = 3,980,253,546.35
  5. Step 5: Solve for x
    x = 3,980,253,546.35/84,157.61
  6. Step 6: Final answer
    x = 47,295.23

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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.