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Finding the Fourth Proportional to 206,349.24, 309,503.70 and 66,070.20

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Solution

The fourth proportional to 206,349.24, 309,503.70 and 66,070.20 is: 99,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,349.24 : 309,503.70 = 66,070.20 : x
  2. Step 2: Convert to fraction form
    206,349.24/309,503.70 = 66,070.20/x
  3. Step 3: Cross multiply
    206,349.24x = 309,503.70 × 66,070.20
  4. Step 4: Simplify right side
    206,349.24x = 20,448,971,359.74
  5. Step 5: Solve for x
    x = 20,448,971,359.74/206,349.24
  6. Step 6: Final answer
    x = 99,098.85

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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.