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Finding the Fourth Proportional to 123,437.80, 184,688.70 and 81,965.80

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Solution

The fourth proportional to 123,437.80, 184,688.70 and 81,965.80 is: 122,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,437.80 : 184,688.70 = 81,965.80 : x
  2. Step 2: Convert to fraction form
    123,437.80/184,688.70 = 81,965.80/x
  3. Step 3: Cross multiply
    123,437.80x = 184,688.70 × 81,965.80
  4. Step 4: Simplify right side
    123,437.80x = 15,138,157,046.46
  5. Step 5: Solve for x
    x = 15,138,157,046.46/123,437.80
  6. Step 6: Final answer
    x = 122,637.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.