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Finding the Fourth Proportional to 202,005.62, 278,784.36 and 111,369.86

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Solution

The fourth proportional to 202,005.62, 278,784.36 and 111,369.86 is: 153,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.62 : 278,784.36 = 111,369.86 : x
  2. Step 2: Convert to fraction form
    202,005.62/278,784.36 = 111,369.86/x
  3. Step 3: Cross multiply
    202,005.62x = 278,784.36 × 111,369.86
  4. Step 4: Simplify right side
    202,005.62x = 31,048,175,143.39
  5. Step 5: Solve for x
    x = 31,048,175,143.39/202,005.62
  6. Step 6: Final answer
    x = 153,699.56

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1.5x scale

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.