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Finding the Fourth Proportional to 207,761.06, 286,710.14 and 112,267.72

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Solution

The fourth proportional to 207,761.06, 286,710.14 and 112,267.72 is: 154,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,761.06 : 286,710.14 = 112,267.72 : x
  2. Step 2: Convert to fraction form
    207,761.06/286,710.14 = 112,267.72/x
  3. Step 3: Cross multiply
    207,761.06x = 286,710.14 × 112,267.72
  4. Step 4: Simplify right side
    207,761.06x = 32,188,293,718.68
  5. Step 5: Solve for x
    x = 32,188,293,718.68/207,761.06
  6. Step 6: Final answer
    x = 154,929.39

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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.