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Finding the Fourth Proportional to 203,470.50, 280,792.68 and 112,830.30

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Solution

The fourth proportional to 203,470.50, 280,792.68 and 112,830.30 is: 155,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,470.50 : 280,792.68 = 112,830.30 : x
  2. Step 2: Convert to fraction form
    203,470.50/280,792.68 = 112,830.30/x
  3. Step 3: Cross multiply
    203,470.50x = 280,792.68 × 112,830.30
  4. Step 4: Simplify right side
    203,470.50x = 31,681,922,322.20
  5. Step 5: Solve for x
    x = 31,681,922,322.20/203,470.50
  6. Step 6: Final answer
    x = 155,707.69

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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.