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Finding the Fourth Proportional to 208,589.61, 312,746.16 and 75,452.34

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Solution

The fourth proportional to 208,589.61, 312,746.16 and 75,452.34 is: 113,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,589.61 : 312,746.16 = 75,452.34 : x
  2. Step 2: Convert to fraction form
    208,589.61/312,746.16 = 75,452.34/x
  3. Step 3: Cross multiply
    208,589.61x = 312,746.16 × 75,452.34
  4. Step 4: Simplify right side
    208,589.61x = 23,597,429,598.01
  5. Step 5: Solve for x
    x = 23,597,429,598.01/208,589.61
  6. Step 6: Final answer
    x = 113,128.50

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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.