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Finding the Fourth Proportional to 202,111.08, 278,894.16 and 117,219

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Solution

The fourth proportional to 202,111.08, 278,894.16 and 117,219 is: 161,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,111.08 : 278,894.16 = 117,219 : x
  2. Step 2: Convert to fraction form
    202,111.08/278,894.16 = 117,219/x
  3. Step 3: Cross multiply
    202,111.08x = 278,894.16 × 117,219
  4. Step 4: Simplify right side
    202,111.08x = 32,691,694,541.04
  5. Step 5: Solve for x
    x = 32,691,694,541.04/202,111.08
  6. Step 6: Final answer
    x = 161,751.12

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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.