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Finding the Fourth Proportional to 206,864.60, 310,383.30 and 66,666.20

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Solution

The fourth proportional to 206,864.60, 310,383.30 and 66,666.20 is: 100,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.60 : 310,383.30 = 66,666.20 : x
  2. Step 2: Convert to fraction form
    206,864.60/310,383.30 = 66,666.20/x
  3. Step 3: Cross multiply
    206,864.60x = 310,383.30 × 66,666.20
  4. Step 4: Simplify right side
    206,864.60x = 20,692,075,154.46
  5. Step 5: Solve for x
    x = 20,692,075,154.46/206,864.60
  6. Step 6: Final answer
    x = 100,027.14

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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.