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Finding the Fourth Proportional to 102,697.74, 141,669.81 and 64,993.86

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Solution

The fourth proportional to 102,697.74, 141,669.81 and 64,993.86 is: 89,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697.74 : 141,669.81 = 64,993.86 : x
  2. Step 2: Convert to fraction form
    102,697.74/141,669.81 = 64,993.86/x
  3. Step 3: Cross multiply
    102,697.74x = 141,669.81 × 64,993.86
  4. Step 4: Simplify right side
    102,697.74x = 9,207,667,797.37
  5. Step 5: Solve for x
    x = 9,207,667,797.37/102,697.74
  6. Step 6: Final answer
    x = 89,657.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.