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Finding the Fourth Proportional to 205,643.10, 283,795.21 and 114,998.87

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Solution

The fourth proportional to 205,643.10, 283,795.21 and 114,998.87 is: 158,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,643.10 : 283,795.21 = 114,998.87 : x
  2. Step 2: Convert to fraction form
    205,643.10/283,795.21 = 114,998.87/x
  3. Step 3: Cross multiply
    205,643.10x = 283,795.21 × 114,998.87
  4. Step 4: Simplify right side
    205,643.10x = 32,636,129,314.65
  5. Step 5: Solve for x
    x = 32,636,129,314.65/205,643.10
  6. Step 6: Final answer
    x = 158,702.77

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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.