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Finding the Fourth Proportional to 243,533.76, 365,337.12 and 85,734.44

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Solution

The fourth proportional to 243,533.76, 365,337.12 and 85,734.44 is: 128,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,533.76 : 365,337.12 = 85,734.44 : x
  2. Step 2: Convert to fraction form
    243,533.76/365,337.12 = 85,734.44/x
  3. Step 3: Cross multiply
    243,533.76x = 365,337.12 × 85,734.44
  4. Step 4: Simplify right side
    243,533.76x = 31,321,973,394.41
  5. Step 5: Solve for x
    x = 31,321,973,394.41/243,533.76
  6. Step 6: Final answer
    x = 128,614.50

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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.