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Finding the Fourth Proportional to 77,693.98, 107,201.64 and 45,422.38

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Solution

The fourth proportional to 77,693.98, 107,201.64 and 45,422.38 is: 62,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.98 : 107,201.64 = 45,422.38 : x
  2. Step 2: Convert to fraction form
    77,693.98/107,201.64 = 45,422.38/x
  3. Step 3: Cross multiply
    77,693.98x = 107,201.64 × 45,422.38
  4. Step 4: Simplify right side
    77,693.98x = 4,869,353,628.70
  5. Step 5: Solve for x
    x = 4,869,353,628.70/77,693.98
  6. Step 6: Final answer
    x = 62,673.50

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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.