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Finding the Fourth Proportional to 243,261.24, 364,742.82 and 85,507.80

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Solution

The fourth proportional to 243,261.24, 364,742.82 and 85,507.80 is: 128,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,261.24 : 364,742.82 = 85,507.80 : x
  2. Step 2: Convert to fraction form
    243,261.24/364,742.82 = 85,507.80/x
  3. Step 3: Cross multiply
    243,261.24x = 364,742.82 × 85,507.80
  4. Step 4: Simplify right side
    243,261.24x = 31,188,356,104.00
  5. Step 5: Solve for x
    x = 31,188,356,104.00/243,261.24
  6. Step 6: Final answer
    x = 128,209.31

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1.5x scale

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.