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Finding the Fourth Proportional to 535,537.75, 803,309.64 and 136,178.77

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Solution

The fourth proportional to 535,537.75, 803,309.64 and 136,178.77 is: 204,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,537.75 : 803,309.64 = 136,178.77 : x
  2. Step 2: Convert to fraction form
    535,537.75/803,309.64 = 136,178.77/x
  3. Step 3: Cross multiply
    535,537.75x = 803,309.64 × 136,178.77
  4. Step 4: Simplify right side
    535,537.75x = 109,393,718,704.34
  5. Step 5: Solve for x
    x = 109,393,718,704.34/535,537.75
  6. Step 6: Final answer
    x = 204,268.92

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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.