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Finding the Fourth Proportional to 205,700.82, 283,881.72 and 115,065.30

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Solution

The fourth proportional to 205,700.82, 283,881.72 and 115,065.30 is: 158,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,700.82 : 283,881.72 = 115,065.30 : x
  2. Step 2: Convert to fraction form
    205,700.82/283,881.72 = 115,065.30/x
  3. Step 3: Cross multiply
    205,700.82x = 283,881.72 × 115,065.30
  4. Step 4: Simplify right side
    205,700.82x = 32,664,935,276.32
  5. Step 5: Solve for x
    x = 32,664,935,276.32/205,700.82
  6. Step 6: Final answer
    x = 158,798.27

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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.