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Finding the Fourth Proportional to 223,803.72, 308,752.02 and 128,288.52

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Solution

The fourth proportional to 223,803.72, 308,752.02 and 128,288.52 is: 176,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,803.72 : 308,752.02 = 128,288.52 : x
  2. Step 2: Convert to fraction form
    223,803.72/308,752.02 = 128,288.52/x
  3. Step 3: Cross multiply
    223,803.72x = 308,752.02 × 128,288.52
  4. Step 4: Simplify right side
    223,803.72x = 39,609,339,692.81
  5. Step 5: Solve for x
    x = 39,609,339,692.81/223,803.72
  6. Step 6: Final answer
    x = 176,982.49

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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.