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Finding the Fourth Proportional to 123,140.64, 184,443.65 and 75,611.46

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Solution

The fourth proportional to 123,140.64, 184,443.65 and 75,611.46 is: 113,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,140.64 : 184,443.65 = 75,611.46 : x
  2. Step 2: Convert to fraction form
    123,140.64/184,443.65 = 75,611.46/x
  3. Step 3: Cross multiply
    123,140.64x = 184,443.65 × 75,611.46
  4. Step 4: Simplify right side
    123,140.64x = 13,946,053,853.26
  5. Step 5: Solve for x
    x = 13,946,053,853.26/123,140.64
  6. Step 6: Final answer
    x = 113,253.06

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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.