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Finding the Fourth Proportional to 147,138.95, 220,706.87 and 97,441.40

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Solution

The fourth proportional to 147,138.95, 220,706.87 and 97,441.40 is: 146,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,138.95 : 220,706.87 = 97,441.40 : x
  2. Step 2: Convert to fraction form
    147,138.95/220,706.87 = 97,441.40/x
  3. Step 3: Cross multiply
    147,138.95x = 220,706.87 × 97,441.40
  4. Step 4: Simplify right side
    147,138.95x = 21,505,984,811.68
  5. Step 5: Solve for x
    x = 21,505,984,811.68/147,138.95
  6. Step 6: Final answer
    x = 146,161.06

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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.