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Finding the Fourth Proportional to 208,587.48, 312,695.66 and 75,438.14

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Solution

The fourth proportional to 208,587.48, 312,695.66 and 75,438.14 is: 113,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,587.48 : 312,695.66 = 75,438.14 : x
  2. Step 2: Convert to fraction form
    208,587.48/312,695.66 = 75,438.14/x
  3. Step 3: Cross multiply
    208,587.48x = 312,695.66 × 75,438.14
  4. Step 4: Simplify right side
    208,587.48x = 23,589,178,976.47
  5. Step 5: Solve for x
    x = 23,589,178,976.47/208,587.48
  6. Step 6: Final answer
    x = 113,090.10

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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.