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Finding the Fourth Proportional to 221,089.77, 305,009.32 and 144,475.87

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Solution

The fourth proportional to 221,089.77, 305,009.32 and 144,475.87 is: 199,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089.77 : 305,009.32 = 144,475.87 : x
  2. Step 2: Convert to fraction form
    221,089.77/305,009.32 = 144,475.87/x
  3. Step 3: Cross multiply
    221,089.77x = 305,009.32 × 144,475.87
  4. Step 4: Simplify right side
    221,089.77x = 44,066,486,142.73
  5. Step 5: Solve for x
    x = 44,066,486,142.73/221,089.77
  6. Step 6: Final answer
    x = 199,314.90

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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.