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Finding the Fourth Proportional to 98,062.84, 147,064.02 and 51,290.20

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Solution

The fourth proportional to 98,062.84, 147,064.02 and 51,290.20 is: 76,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,062.84 : 147,064.02 = 51,290.20 : x
  2. Step 2: Convert to fraction form
    98,062.84/147,064.02 = 51,290.20/x
  3. Step 3: Cross multiply
    98,062.84x = 147,064.02 × 51,290.20
  4. Step 4: Simplify right side
    98,062.84x = 7,542,942,998.60
  5. Step 5: Solve for x
    x = 7,542,942,998.60/98,062.84
  6. Step 6: Final answer
    x = 76,919.48

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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.