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Finding the Fourth Proportional to 77,105.93, 106,394.92 and 45,285.08

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Solution

The fourth proportional to 77,105.93, 106,394.92 and 45,285.08 is: 62,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.93 : 106,394.92 = 45,285.08 : x
  2. Step 2: Convert to fraction form
    77,105.93/106,394.92 = 45,285.08/x
  3. Step 3: Cross multiply
    77,105.93x = 106,394.92 × 45,285.08
  4. Step 4: Simplify right side
    77,105.93x = 4,818,101,818.61
  5. Step 5: Solve for x
    x = 4,818,101,818.61/77,105.93
  6. Step 6: Final answer
    x = 62,486.79

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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.