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Finding the Fourth Proportional to 119,496.42, 164,911.01 and 65,780.87

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Solution

The fourth proportional to 119,496.42, 164,911.01 and 65,780.87 is: 90,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,496.42 : 164,911.01 = 65,780.87 : x
  2. Step 2: Convert to fraction form
    119,496.42/164,911.01 = 65,780.87/x
  3. Step 3: Cross multiply
    119,496.42x = 164,911.01 × 65,780.87
  4. Step 4: Simplify right side
    119,496.42x = 10,847,988,556.92
  5. Step 5: Solve for x
    x = 10,847,988,556.92/119,496.42
  6. Step 6: Final answer
    x = 90,780.87

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1.5x scale

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.