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Finding the Fourth Proportional to 208,587.36, 312,695.47 and 75,438.01

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Solution

The fourth proportional to 208,587.36, 312,695.47 and 75,438.01 is: 113,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,587.36 : 312,695.47 = 75,438.01 : x
  2. Step 2: Convert to fraction form
    208,587.36/312,695.47 = 75,438.01/x
  3. Step 3: Cross multiply
    208,587.36x = 312,695.47 × 75,438.01
  4. Step 4: Simplify right side
    208,587.36x = 23,589,123,022.48
  5. Step 5: Solve for x
    x = 23,589,123,022.48/208,587.36
  6. Step 6: Final answer
    x = 113,089.90

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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.