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Finding the Fourth Proportional to 189,807.64, 261,922.06 and 109,222.16

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Solution

The fourth proportional to 189,807.64, 261,922.06 and 109,222.16 is: 150,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,807.64 : 261,922.06 = 109,222.16 : x
  2. Step 2: Convert to fraction form
    189,807.64/261,922.06 = 109,222.16/x
  3. Step 3: Cross multiply
    189,807.64x = 261,922.06 × 109,222.16
  4. Step 4: Simplify right side
    189,807.64x = 28,607,693,144.85
  5. Step 5: Solve for x
    x = 28,607,693,144.85/189,807.64
  6. Step 6: Final answer
    x = 150,719.40

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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.