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Finding the Fourth Proportional to 189,579, 261,616.84 and 109,006.84

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Solution

The fourth proportional to 189,579, 261,616.84 and 109,006.84 is: 150,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,579 : 261,616.84 = 109,006.84 : x
  2. Step 2: Convert to fraction form
    189,579/261,616.84 = 109,006.84/x
  3. Step 3: Cross multiply
    189,579x = 261,616.84 × 109,006.84
  4. Step 4: Simplify right side
    189,579x = 28,518,025,019.19
  5. Step 5: Solve for x
    x = 28,518,025,019.19/189,579
  6. Step 6: Final answer
    x = 150,428.19

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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.