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Finding the Fourth Proportional to 206,885.82, 310,320.30 and 71,980.77

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Solution

The fourth proportional to 206,885.82, 310,320.30 and 71,980.77 is: 107,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885.82 : 310,320.30 = 71,980.77 : x
  2. Step 2: Convert to fraction form
    206,885.82/310,320.30 = 71,980.77/x
  3. Step 3: Cross multiply
    206,885.82x = 310,320.30 × 71,980.77
  4. Step 4: Simplify right side
    206,885.82x = 22,337,094,140.63
  5. Step 5: Solve for x
    x = 22,337,094,140.63/206,885.82
  6. Step 6: Final answer
    x = 107,968.22

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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.