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Finding the Fourth Proportional to 205,375.02, 308,046.32 and 65,134.86

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Solution

The fourth proportional to 205,375.02, 308,046.32 and 65,134.86 is: 97,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,375.02 : 308,046.32 = 65,134.86 : x
  2. Step 2: Convert to fraction form
    205,375.02/308,046.32 = 65,134.86/x
  3. Step 3: Cross multiply
    205,375.02x = 308,046.32 × 65,134.86
  4. Step 4: Simplify right side
    205,375.02x = 20,064,552,386.48
  5. Step 5: Solve for x
    x = 20,064,552,386.48/205,375.02
  6. Step 6: Final answer
    x = 97,697.14

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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.