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Finding the Fourth Proportional to 203,458.86, 280,802.16 and 112,834.98

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Solution

The fourth proportional to 203,458.86, 280,802.16 and 112,834.98 is: 155,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,458.86 : 280,802.16 = 112,834.98 : x
  2. Step 2: Convert to fraction form
    203,458.86/280,802.16 = 112,834.98/x
  3. Step 3: Cross multiply
    203,458.86x = 280,802.16 × 112,834.98
  4. Step 4: Simplify right side
    203,458.86x = 31,684,306,107.56
  5. Step 5: Solve for x
    x = 31,684,306,107.56/203,458.86
  6. Step 6: Final answer
    x = 155,728.32

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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.