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Finding the Fourth Proportional to 189,290.93, 283,655.88 and 76,834.31

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Solution

The fourth proportional to 189,290.93, 283,655.88 and 76,834.31 is: 115,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,290.93 : 283,655.88 = 76,834.31 : x
  2. Step 2: Convert to fraction form
    189,290.93/283,655.88 = 76,834.31/x
  3. Step 3: Cross multiply
    189,290.93x = 283,655.88 × 76,834.31
  4. Step 4: Simplify right side
    189,290.93x = 21,794,502,398.96
  5. Step 5: Solve for x
    x = 21,794,502,398.96/189,290.93
  6. Step 6: Final answer
    x = 115,137.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.