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Finding the Fourth Proportional to 203,275.47, 305,017.29 and 96,779.91

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Solution

The fourth proportional to 203,275.47, 305,017.29 and 96,779.91 is: 145,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,275.47 : 305,017.29 = 96,779.91 : x
  2. Step 2: Convert to fraction form
    203,275.47/305,017.29 = 96,779.91/x
  3. Step 3: Cross multiply
    203,275.47x = 305,017.29 × 96,779.91
  4. Step 4: Simplify right side
    203,275.47x = 29,519,545,874.64
  5. Step 5: Solve for x
    x = 29,519,545,874.64/203,275.47
  6. Step 6: Final answer
    x = 145,219.42

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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.