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Finding the Fourth Proportional to 157,884.50, 218,057.20 and 122,503.70

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Solution

The fourth proportional to 157,884.50, 218,057.20 and 122,503.70 is: 169,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884.50 : 218,057.20 = 122,503.70 : x
  2. Step 2: Convert to fraction form
    157,884.50/218,057.20 = 122,503.70/x
  3. Step 3: Cross multiply
    157,884.50x = 218,057.20 × 122,503.70
  4. Step 4: Simplify right side
    157,884.50x = 26,712,813,811.64
  5. Step 5: Solve for x
    x = 26,712,813,811.64/157,884.50
  6. Step 6: Final answer
    x = 169,192.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.