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Finding the Fourth Proportional to 147,855.70, 221,892.90 and 97,919.20

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Solution

The fourth proportional to 147,855.70, 221,892.90 and 97,919.20 is: 146,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,855.70 : 221,892.90 = 97,919.20 : x
  2. Step 2: Convert to fraction form
    147,855.70/221,892.90 = 97,919.20/x
  3. Step 3: Cross multiply
    147,855.70x = 221,892.90 × 97,919.20
  4. Step 4: Simplify right side
    147,855.70x = 21,727,575,253.68
  5. Step 5: Solve for x
    x = 21,727,575,253.68/147,855.70
  6. Step 6: Final answer
    x = 146,951.22

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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.