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Finding the Fourth Proportional to 202,128, 278,932.86 and 111,492.42

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Solution

The fourth proportional to 202,128, 278,932.86 and 111,492.42 is: 153,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,128 : 278,932.86 = 111,492.42 : x
  2. Step 2: Convert to fraction form
    202,128/278,932.86 = 111,492.42/x
  3. Step 3: Cross multiply
    202,128x = 278,932.86 × 111,492.42
  4. Step 4: Simplify right side
    202,128x = 31,098,899,578.92
  5. Step 5: Solve for x
    x = 31,098,899,578.92/202,128
  6. Step 6: Final answer
    x = 153,857.45

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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.