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Finding the Fourth Proportional to 98,019.40, 147,072.30 and 45,401.80

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Solution

The fourth proportional to 98,019.40, 147,072.30 and 45,401.80 is: 68,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019.40 : 147,072.30 = 45,401.80 : x
  2. Step 2: Convert to fraction form
    98,019.40/147,072.30 = 45,401.80/x
  3. Step 3: Cross multiply
    98,019.40x = 147,072.30 × 45,401.80
  4. Step 4: Simplify right side
    98,019.40x = 6,677,347,150.14
  5. Step 5: Solve for x
    x = 6,677,347,150.14/98,019.40
  6. Step 6: Final answer
    x = 68,122.71

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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.