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Finding the Fourth Proportional to 223,578.78, 308,538.50 and 128,085.86

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Solution

The fourth proportional to 223,578.78, 308,538.50 and 128,085.86 is: 176,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,578.78 : 308,538.50 = 128,085.86 : x
  2. Step 2: Convert to fraction form
    223,578.78/308,538.50 = 128,085.86/x
  3. Step 3: Cross multiply
    223,578.78x = 308,538.50 × 128,085.86
  4. Step 4: Simplify right side
    223,578.78x = 39,519,416,932.49
  5. Step 5: Solve for x
    x = 39,519,416,932.49/223,578.78
  6. Step 6: Final answer
    x = 176,758.35

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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.