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Finding the Fourth Proportional to 201,214.70, 301,822.05 and 53,470.70

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Solution

The fourth proportional to 201,214.70, 301,822.05 and 53,470.70 is: 80,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214.70 : 301,822.05 = 53,470.70 : x
  2. Step 2: Convert to fraction form
    201,214.70/301,822.05 = 53,470.70/x
  3. Step 3: Cross multiply
    201,214.70x = 301,822.05 × 53,470.70
  4. Step 4: Simplify right side
    201,214.70x = 16,138,636,288.94
  5. Step 5: Solve for x
    x = 16,138,636,288.94/201,214.70
  6. Step 6: Final answer
    x = 80,206.05

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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.