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Finding the Fourth Proportional to 206,407.81, 309,312.89 and 142,300.15

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Solution

The fourth proportional to 206,407.81, 309,312.89 and 142,300.15 is: 213,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,407.81 : 309,312.89 = 142,300.15 : x
  2. Step 2: Convert to fraction form
    206,407.81/309,312.89 = 142,300.15/x
  3. Step 3: Cross multiply
    206,407.81x = 309,312.89 × 142,300.15
  4. Step 4: Simplify right side
    206,407.81x = 44,015,268,385.87
  5. Step 5: Solve for x
    x = 44,015,268,385.87/206,407.81
  6. Step 6: Final answer
    x = 213,244.21

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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.