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Finding the Fourth Proportional to 242,286, 363,430.60 and 84,513.84

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Solution

The fourth proportional to 242,286, 363,430.60 and 84,513.84 is: 126,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,286 : 363,430.60 = 84,513.84 : x
  2. Step 2: Convert to fraction form
    242,286/363,430.60 = 84,513.84/x
  3. Step 3: Cross multiply
    242,286x = 363,430.60 × 84,513.84
  4. Step 4: Simplify right side
    242,286x = 30,714,915,579.50
  5. Step 5: Solve for x
    x = 30,714,915,579.50/242,286
  6. Step 6: Final answer
    x = 126,771.32

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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.