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Finding the Fourth Proportional to 207,945.64, 286,965.64 and 112,453

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Solution

The fourth proportional to 207,945.64, 286,965.64 and 112,453 is: 155,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,945.64 : 286,965.64 = 112,453 : x
  2. Step 2: Convert to fraction form
    207,945.64/286,965.64 = 112,453/x
  3. Step 3: Cross multiply
    207,945.64x = 286,965.64 × 112,453
  4. Step 4: Simplify right side
    207,945.64x = 32,270,147,114.92
  5. Step 5: Solve for x
    x = 32,270,147,114.92/207,945.64
  6. Step 6: Final answer
    x = 155,185.50

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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.