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Finding the Fourth Proportional to 223,782.72, 335,671.92 and 105,389.28

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Solution

The fourth proportional to 223,782.72, 335,671.92 and 105,389.28 is: 158,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,782.72 : 335,671.92 = 105,389.28 : x
  2. Step 2: Convert to fraction form
    223,782.72/335,671.92 = 105,389.28/x
  3. Step 3: Cross multiply
    223,782.72x = 335,671.92 × 105,389.28
  4. Step 4: Simplify right side
    223,782.72x = 35,376,221,965.02
  5. Step 5: Solve for x
    x = 35,376,221,965.02/223,782.72
  6. Step 6: Final answer
    x = 158,082.90

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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.