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Finding the Fourth Proportional to 206,685.75, 310,030.31 and 56,934.30

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Solution

The fourth proportional to 206,685.75, 310,030.31 and 56,934.30 is: 85,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,685.75 : 310,030.31 = 56,934.30 : x
  2. Step 2: Convert to fraction form
    206,685.75/310,030.31 = 56,934.30/x
  3. Step 3: Cross multiply
    206,685.75x = 310,030.31 × 56,934.30
  4. Step 4: Simplify right side
    206,685.75x = 17,651,358,678.63
  5. Step 5: Solve for x
    x = 17,651,358,678.63/206,685.75
  6. Step 6: Final answer
    x = 85,401.91

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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.