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Finding the Fourth Proportional to 284,077.80, 426,116.70 and 106,590.60

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Solution

The fourth proportional to 284,077.80, 426,116.70 and 106,590.60 is: 159,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,077.80 : 426,116.70 = 106,590.60 : x
  2. Step 2: Convert to fraction form
    284,077.80/426,116.70 = 106,590.60/x
  3. Step 3: Cross multiply
    284,077.80x = 426,116.70 × 106,590.60
  4. Step 4: Simplify right side
    284,077.80x = 45,420,034,723.02
  5. Step 5: Solve for x
    x = 45,420,034,723.02/284,077.80
  6. Step 6: Final answer
    x = 159,885.90

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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.