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Finding the Fourth Proportional to 189,931.62, 284,792.24 and 77,690.65

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Solution

The fourth proportional to 189,931.62, 284,792.24 and 77,690.65 is: 116,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,931.62 : 284,792.24 = 77,690.65 : x
  2. Step 2: Convert to fraction form
    189,931.62/284,792.24 = 77,690.65/x
  3. Step 3: Cross multiply
    189,931.62x = 284,792.24 × 77,690.65
  4. Step 4: Simplify right side
    189,931.62x = 22,125,694,240.56
  5. Step 5: Solve for x
    x = 22,125,694,240.56/189,931.62
  6. Step 6: Final answer
    x = 116,492.95

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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.