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Finding the Fourth Proportional to 123,529.95, 170,343.14 and 105,684.03

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Solution

The fourth proportional to 123,529.95, 170,343.14 and 105,684.03 is: 145,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,529.95 : 170,343.14 = 105,684.03 : x
  2. Step 2: Convert to fraction form
    123,529.95/170,343.14 = 105,684.03/x
  3. Step 3: Cross multiply
    123,529.95x = 170,343.14 × 105,684.03
  4. Step 4: Simplify right side
    123,529.95x = 18,002,548,989.63
  5. Step 5: Solve for x
    x = 18,002,548,989.63/123,529.95
  6. Step 6: Final answer
    x = 145,734.29

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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.