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Finding the Fourth Proportional to 205,643.94, 283,776.84 and 113,757.72

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Solution

The fourth proportional to 205,643.94, 283,776.84 and 113,757.72 is: 156,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,643.94 : 283,776.84 = 113,757.72 : x
  2. Step 2: Convert to fraction form
    205,643.94/283,776.84 = 113,757.72/x
  3. Step 3: Cross multiply
    205,643.94x = 283,776.84 × 113,757.72
  4. Step 4: Simplify right side
    205,643.94x = 32,281,806,307.20
  5. Step 5: Solve for x
    x = 32,281,806,307.20/205,643.94
  6. Step 6: Final answer
    x = 156,979.13

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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.