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Finding the Fourth Proportional to 207,651.78, 286,548.57 and 117,007.92

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Solution

The fourth proportional to 207,651.78, 286,548.57 and 117,007.92 is: 161,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,651.78 : 286,548.57 = 117,007.92 : x
  2. Step 2: Convert to fraction form
    207,651.78/286,548.57 = 117,007.92/x
  3. Step 3: Cross multiply
    207,651.78x = 286,548.57 × 117,007.92
  4. Step 4: Simplify right side
    207,651.78x = 33,528,452,154.67
  5. Step 5: Solve for x
    x = 33,528,452,154.67/207,651.78
  6. Step 6: Final answer
    x = 161,464.80

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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.