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Finding the Fourth Proportional to 207,406.50, 286,236.72 and 125,758.50

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Solution

The fourth proportional to 207,406.50, 286,236.72 and 125,758.50 is: 173,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,406.50 : 286,236.72 = 125,758.50 : x
  2. Step 2: Convert to fraction form
    207,406.50/286,236.72 = 125,758.50/x
  3. Step 3: Cross multiply
    207,406.50x = 286,236.72 × 125,758.50
  4. Step 4: Simplify right side
    207,406.50x = 35,996,700,552.12
  5. Step 5: Solve for x
    x = 35,996,700,552.12/207,406.50
  6. Step 6: Final answer
    x = 173,556.28

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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.