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Finding the Fourth Proportional to 203,470.16, 280,792.19 and 112,829.94

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Solution

The fourth proportional to 203,470.16, 280,792.19 and 112,829.94 is: 155,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,470.16 : 280,792.19 = 112,829.94 : x
  2. Step 2: Convert to fraction form
    203,470.16/280,792.19 = 112,829.94/x
  3. Step 3: Cross multiply
    203,470.16x = 280,792.19 × 112,829.94
  4. Step 4: Simplify right side
    203,470.16x = 31,681,765,386.02
  5. Step 5: Solve for x
    x = 31,681,765,386.02/203,470.16
  6. Step 6: Final answer
    x = 155,707.19

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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.