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Finding the Fourth Proportional to 202,991.50, 280,128.87 and 112,353.76

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Solution

The fourth proportional to 202,991.50, 280,128.87 and 112,353.76 is: 155,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,991.50 : 280,128.87 = 112,353.76 : x
  2. Step 2: Convert to fraction form
    202,991.50/280,128.87 = 112,353.76/x
  3. Step 3: Cross multiply
    202,991.50x = 280,128.87 × 112,353.76
  4. Step 4: Simplify right side
    202,991.50x = 31,473,529,866.64
  5. Step 5: Solve for x
    x = 31,473,529,866.64/202,991.50
  6. Step 6: Final answer
    x = 155,048.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.