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Finding the Fourth Proportional to 147,638, 221,545.56 and 54,153.20

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Solution

The fourth proportional to 147,638, 221,545.56 and 54,153.20 is: 81,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,638 : 221,545.56 = 54,153.20 : x
  2. Step 2: Convert to fraction form
    147,638/221,545.56 = 54,153.20/x
  3. Step 3: Cross multiply
    147,638x = 221,545.56 × 54,153.20
  4. Step 4: Simplify right side
    147,638x = 11,997,401,019.79
  5. Step 5: Solve for x
    x = 11,997,401,019.79/147,638
  6. Step 6: Final answer
    x = 81,262.28

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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.