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Finding the Fourth Proportional to 77,802.66, 107,377.86 and 43,817.76

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Solution

The fourth proportional to 77,802.66, 107,377.86 and 43,817.76 is: 60,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.66 : 107,377.86 = 43,817.76 : x
  2. Step 2: Convert to fraction form
    77,802.66/107,377.86 = 43,817.76/x
  3. Step 3: Cross multiply
    77,802.66x = 107,377.86 × 43,817.76
  4. Step 4: Simplify right side
    77,802.66x = 4,705,057,298.79
  5. Step 5: Solve for x
    x = 4,705,057,298.79/77,802.66
  6. Step 6: Final answer
    x = 60,474.25

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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.