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Finding the Fourth Proportional to 221,254.86, 305,244.78 and 136,224.30

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Solution

The fourth proportional to 221,254.86, 305,244.78 and 136,224.30 is: 187,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,254.86 : 305,244.78 = 136,224.30 : x
  2. Step 2: Convert to fraction form
    221,254.86/305,244.78 = 136,224.30/x
  3. Step 3: Cross multiply
    221,254.86x = 305,244.78 × 136,224.30
  4. Step 4: Simplify right side
    221,254.86x = 41,581,756,484.15
  5. Step 5: Solve for x
    x = 41,581,756,484.15/221,254.86
  6. Step 6: Final answer
    x = 187,936.01

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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.