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Finding the Fourth Proportional to 221,757.50, 306,025.36 and 121,155.50

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Solution

The fourth proportional to 221,757.50, 306,025.36 and 121,155.50 is: 167,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,757.50 : 306,025.36 = 121,155.50 : x
  2. Step 2: Convert to fraction form
    221,757.50/306,025.36 = 121,155.50/x
  3. Step 3: Cross multiply
    221,757.50x = 306,025.36 × 121,155.50
  4. Step 4: Simplify right side
    221,757.50x = 37,076,655,503.48
  5. Step 5: Solve for x
    x = 37,076,655,503.48/221,757.50
  6. Step 6: Final answer
    x = 167,194.60

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1.5x scale

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.