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Finding the Fourth Proportional to 206,697.04, 310,078.05 and 88,369

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Solution

The fourth proportional to 206,697.04, 310,078.05 and 88,369 is: 132,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,697.04 : 310,078.05 = 88,369 : x
  2. Step 2: Convert to fraction form
    206,697.04/310,078.05 = 88,369/x
  3. Step 3: Cross multiply
    206,697.04x = 310,078.05 × 88,369
  4. Step 4: Simplify right side
    206,697.04x = 27,401,287,200.45
  5. Step 5: Solve for x
    x = 27,401,287,200.45/206,697.04
  6. Step 6: Final answer
    x = 132,567.39

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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.