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Finding the Fourth Proportional to 148,813.57, 205,375.42 and 84,294.32

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Solution

The fourth proportional to 148,813.57, 205,375.42 and 84,294.32 is: 116,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,813.57 : 205,375.42 = 84,294.32 : x
  2. Step 2: Convert to fraction form
    148,813.57/205,375.42 = 84,294.32/x
  3. Step 3: Cross multiply
    148,813.57x = 205,375.42 × 84,294.32
  4. Step 4: Simplify right side
    148,813.57x = 17,311,980,452.11
  5. Step 5: Solve for x
    x = 17,311,980,452.11/148,813.57
  6. Step 6: Final answer
    x = 116,333.34

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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.