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Finding the Fourth Proportional to 133,969.82, 184,871.66 and 77,377.82

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Solution

The fourth proportional to 133,969.82, 184,871.66 and 77,377.82 is: 106,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,969.82 : 184,871.66 = 77,377.82 : x
  2. Step 2: Convert to fraction form
    133,969.82/184,871.66 = 77,377.82/x
  3. Step 3: Cross multiply
    133,969.82x = 184,871.66 × 77,377.82
  4. Step 4: Simplify right side
    133,969.82x = 14,304,966,030.58
  5. Step 5: Solve for x
    x = 14,304,966,030.58/133,969.82
  6. Step 6: Final answer
    x = 106,777.53

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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.