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Finding the Fourth Proportional to 207,538.78, 286,418.44 and 115,664.30

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Solution

The fourth proportional to 207,538.78, 286,418.44 and 115,664.30 is: 159,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,538.78 : 286,418.44 = 115,664.30 : x
  2. Step 2: Convert to fraction form
    207,538.78/286,418.44 = 115,664.30/x
  3. Step 3: Cross multiply
    207,538.78x = 286,418.44 × 115,664.30
  4. Step 4: Simplify right side
    207,538.78x = 33,128,386,937.60
  5. Step 5: Solve for x
    x = 33,128,386,937.60/207,538.78
  6. Step 6: Final answer
    x = 159,625.05

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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.