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Finding the Fourth Proportional to 243,421.74, 365,163.39 and 83,528.82

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Solution

The fourth proportional to 243,421.74, 365,163.39 and 83,528.82 is: 125,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,421.74 : 365,163.39 = 83,528.82 : x
  2. Step 2: Convert to fraction form
    243,421.74/365,163.39 = 83,528.82/x
  3. Step 3: Cross multiply
    243,421.74x = 365,163.39 × 83,528.82
  4. Step 4: Simplify right side
    243,421.74x = 30,501,667,073.90
  5. Step 5: Solve for x
    x = 30,501,667,073.90/243,421.74
  6. Step 6: Final answer
    x = 125,303.79

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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.