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Finding the Fourth Proportional to 254,134.80, 381,203.50 and 85,656.58

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Solution

The fourth proportional to 254,134.80, 381,203.50 and 85,656.58 is: 128,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,134.80 : 381,203.50 = 85,656.58 : x
  2. Step 2: Convert to fraction form
    254,134.80/381,203.50 = 85,656.58/x
  3. Step 3: Cross multiply
    254,134.80x = 381,203.50 × 85,656.58
  4. Step 4: Simplify right side
    254,134.80x = 32,652,588,094.03
  5. Step 5: Solve for x
    x = 32,652,588,094.03/254,134.80
  6. Step 6: Final answer
    x = 128,485.31

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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.