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Finding the Fourth Proportional to 206,692.30, 310,081.65 and 66,465.10

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Solution

The fourth proportional to 206,692.30, 310,081.65 and 66,465.10 is: 99,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,692.30 : 310,081.65 = 66,465.10 : x
  2. Step 2: Convert to fraction form
    206,692.30/310,081.65 = 66,465.10/x
  3. Step 3: Cross multiply
    206,692.30x = 310,081.65 × 66,465.10
  4. Step 4: Simplify right side
    206,692.30x = 20,609,607,875.42
  5. Step 5: Solve for x
    x = 20,609,607,875.42/206,692.30
  6. Step 6: Final answer
    x = 99,711.54

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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.