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Finding the Fourth Proportional to 148,794.32, 205,278 and 85,098.08

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Solution

The fourth proportional to 148,794.32, 205,278 and 85,098.08 is: 117,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,794.32 : 205,278 = 85,098.08 : x
  2. Step 2: Convert to fraction form
    148,794.32/205,278 = 85,098.08/x
  3. Step 3: Cross multiply
    148,794.32x = 205,278 × 85,098.08
  4. Step 4: Simplify right side
    148,794.32x = 17,468,763,666.24
  5. Step 5: Solve for x
    x = 17,468,763,666.24/148,794.32
  6. Step 6: Final answer
    x = 117,402.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.