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Finding the Fourth Proportional to 202,078.39, 278,870.13 and 111,437.57

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Solution

The fourth proportional to 202,078.39, 278,870.13 and 111,437.57 is: 153,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.39 : 278,870.13 = 111,437.57 : x
  2. Step 2: Convert to fraction form
    202,078.39/278,870.13 = 111,437.57/x
  3. Step 3: Cross multiply
    202,078.39x = 278,870.13 × 111,437.57
  4. Step 4: Simplify right side
    202,078.39x = 31,076,608,238.43
  5. Step 5: Solve for x
    x = 31,076,608,238.43/202,078.39
  6. Step 6: Final answer
    x = 153,784.92

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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.