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Finding the Fourth Proportional to 205,714.71, 283,912.56 and 115,075.71

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Solution

The fourth proportional to 205,714.71, 283,912.56 and 115,075.71 is: 158,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.71 : 283,912.56 = 115,075.71 : x
  2. Step 2: Convert to fraction form
    205,714.71/283,912.56 = 115,075.71/x
  3. Step 3: Cross multiply
    205,714.71x = 283,912.56 × 115,075.71
  4. Step 4: Simplify right side
    205,714.71x = 32,671,439,419.92
  5. Step 5: Solve for x
    x = 32,671,439,419.92/205,714.71
  6. Step 6: Final answer
    x = 158,819.17

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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.