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Finding the Fourth Proportional to 73,285.80, 109,842.30 and 31,165.80

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Solution

The fourth proportional to 73,285.80, 109,842.30 and 31,165.80 is: 46,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,285.80 : 109,842.30 = 31,165.80 : x
  2. Step 2: Convert to fraction form
    73,285.80/109,842.30 = 31,165.80/x
  3. Step 3: Cross multiply
    73,285.80x = 109,842.30 × 31,165.80
  4. Step 4: Simplify right side
    73,285.80x = 3,423,323,153.34
  5. Step 5: Solve for x
    x = 3,423,323,153.34/73,285.80
  6. Step 6: Final answer
    x = 46,711.96

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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.