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Finding the Fourth Proportional to 189,241.48, 283,878.62 and 69,331

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Solution

The fourth proportional to 189,241.48, 283,878.62 and 69,331 is: 104,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,241.48 : 283,878.62 = 69,331 : x
  2. Step 2: Convert to fraction form
    189,241.48/283,878.62 = 69,331/x
  3. Step 3: Cross multiply
    189,241.48x = 283,878.62 × 69,331
  4. Step 4: Simplify right side
    189,241.48x = 19,681,588,603.22
  5. Step 5: Solve for x
    x = 19,681,588,603.22/189,241.48
  6. Step 6: Final answer
    x = 104,002.51

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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.