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Finding the Fourth Proportional to 80,203.57, 120,304.74 and 21,038.33

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Solution

The fourth proportional to 80,203.57, 120,304.74 and 21,038.33 is: 31,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,203.57 : 120,304.74 = 21,038.33 : x
  2. Step 2: Convert to fraction form
    80,203.57/120,304.74 = 21,038.33/x
  3. Step 3: Cross multiply
    80,203.57x = 120,304.74 × 21,038.33
  4. Step 4: Simplify right side
    80,203.57x = 2,531,011,200.34
  5. Step 5: Solve for x
    x = 2,531,011,200.34/80,203.57
  6. Step 6: Final answer
    x = 31,557.34

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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.