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Finding the Fourth Proportional to 77,374.75, 106,778.78 and 43,840.75

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Solution

The fourth proportional to 77,374.75, 106,778.78 and 43,840.75 is: 60,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,374.75 : 106,778.78 = 43,840.75 : x
  2. Step 2: Convert to fraction form
    77,374.75/106,778.78 = 43,840.75/x
  3. Step 3: Cross multiply
    77,374.75x = 106,778.78 × 43,840.75
  4. Step 4: Simplify right side
    77,374.75x = 4,681,261,580.08
  5. Step 5: Solve for x
    x = 4,681,261,580.08/77,374.75
  6. Step 6: Final answer
    x = 60,501.15

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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.