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Finding the Fourth Proportional to 98,322.30, 147,519.90 and 39,200.40

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Solution

The fourth proportional to 98,322.30, 147,519.90 and 39,200.40 is: 58,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,322.30 : 147,519.90 = 39,200.40 : x
  2. Step 2: Convert to fraction form
    98,322.30/147,519.90 = 39,200.40/x
  3. Step 3: Cross multiply
    98,322.30x = 147,519.90 × 39,200.40
  4. Step 4: Simplify right side
    98,322.30x = 5,782,839,087.96
  5. Step 5: Solve for x
    x = 5,782,839,087.96/98,322.30
  6. Step 6: Final answer
    x = 58,815.13

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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.