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Finding the Fourth Proportional to 77,355.66, 106,750.81 and 43,821.66

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Solution

The fourth proportional to 77,355.66, 106,750.81 and 43,821.66 is: 60,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,355.66 : 106,750.81 = 43,821.66 : x
  2. Step 2: Convert to fraction form
    77,355.66/106,750.81 = 43,821.66/x
  3. Step 3: Cross multiply
    77,355.66x = 106,750.81 × 43,821.66
  4. Step 4: Simplify right side
    77,355.66x = 4,677,997,108.51
  5. Step 5: Solve for x
    x = 4,677,997,108.51/77,355.66
  6. Step 6: Final answer
    x = 60,473.89

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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.