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Finding the Fourth Proportional to 110,190, 152,062.20 and 65,478

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Solution

The fourth proportional to 110,190, 152,062.20 and 65,478 is: 90,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,190 : 152,062.20 = 65,478 : x
  2. Step 2: Convert to fraction form
    110,190/152,062.20 = 65,478/x
  3. Step 3: Cross multiply
    110,190x = 152,062.20 × 65,478
  4. Step 4: Simplify right side
    110,190x = 9,956,728,731.60
  5. Step 5: Solve for x
    x = 9,956,728,731.60/110,190
  6. Step 6: Final answer
    x = 90,359.64

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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.