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Finding the Fourth Proportional to 205,037.80, 307,605.30 and 105,213.40

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Solution

The fourth proportional to 205,037.80, 307,605.30 and 105,213.40 is: 157,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,037.80 : 307,605.30 = 105,213.40 : x
  2. Step 2: Convert to fraction form
    205,037.80/307,605.30 = 105,213.40/x
  3. Step 3: Cross multiply
    205,037.80x = 307,605.30 × 105,213.40
  4. Step 4: Simplify right side
    205,037.80x = 32,364,199,471.02
  5. Step 5: Solve for x
    x = 32,364,199,471.02/205,037.80
  6. Step 6: Final answer
    x = 157,845.04

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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.