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Finding the Fourth Proportional to 107,789, 148,748.82 and 63,077

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Solution

The fourth proportional to 107,789, 148,748.82 and 63,077 is: 87,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,789 : 148,748.82 = 63,077 : x
  2. Step 2: Convert to fraction form
    107,789/148,748.82 = 63,077/x
  3. Step 3: Cross multiply
    107,789x = 148,748.82 × 63,077
  4. Step 4: Simplify right side
    107,789x = 9,382,629,319.14
  5. Step 5: Solve for x
    x = 9,382,629,319.14/107,789
  6. Step 6: Final answer
    x = 87,046.26

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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.