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Finding the Fourth Proportional to 189,567.84, 284,350.94 and 77,223

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Solution

The fourth proportional to 189,567.84, 284,350.94 and 77,223 is: 115,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,567.84 : 284,350.94 = 77,223 : x
  2. Step 2: Convert to fraction form
    189,567.84/284,350.94 = 77,223/x
  3. Step 3: Cross multiply
    189,567.84x = 284,350.94 × 77,223
  4. Step 4: Simplify right side
    189,567.84x = 21,958,432,639.62
  5. Step 5: Solve for x
    x = 21,958,432,639.62/189,567.84
  6. Step 6: Final answer
    x = 115,834.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.