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Finding the Fourth Proportional to 206,878.46, 310,311.52 and 57,127.90

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Solution

The fourth proportional to 206,878.46, 310,311.52 and 57,127.90 is: 85,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878.46 : 310,311.52 = 57,127.90 : x
  2. Step 2: Convert to fraction form
    206,878.46/310,311.52 = 57,127.90/x
  3. Step 3: Cross multiply
    206,878.46x = 310,311.52 × 57,127.90
  4. Step 4: Simplify right side
    206,878.46x = 17,727,445,483.41
  5. Step 5: Solve for x
    x = 17,727,445,483.41/206,878.46
  6. Step 6: Final answer
    x = 85,690.15

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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.