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Finding the Fourth Proportional to 147,361.84, 221,108.10 and 77,224.48

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Solution

The fourth proportional to 147,361.84, 221,108.10 and 77,224.48 is: 115,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,361.84 : 221,108.10 = 77,224.48 : x
  2. Step 2: Convert to fraction form
    147,361.84/221,108.10 = 77,224.48/x
  3. Step 3: Cross multiply
    147,361.84x = 221,108.10 × 77,224.48
  4. Step 4: Simplify right side
    147,361.84x = 17,074,958,046.29
  5. Step 5: Solve for x
    x = 17,074,958,046.29/147,361.84
  6. Step 6: Final answer
    x = 115,870.96

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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.