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Finding the Fourth Proportional to 100,267.31, 138,368.90 and 59,982.77

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Solution

The fourth proportional to 100,267.31, 138,368.90 and 59,982.77 is: 82,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,267.31 : 138,368.90 = 59,982.77 : x
  2. Step 2: Convert to fraction form
    100,267.31/138,368.90 = 59,982.77/x
  3. Step 3: Cross multiply
    100,267.31x = 138,368.90 × 59,982.77
  4. Step 4: Simplify right side
    100,267.31x = 8,299,750,399.73
  5. Step 5: Solve for x
    x = 8,299,750,399.73/100,267.31
  6. Step 6: Final answer
    x = 82,776.23

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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.