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Finding the Fourth Proportional to 129,609, 178,860.42 and 69,993

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Solution

The fourth proportional to 129,609, 178,860.42 and 69,993 is: 96,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,609 : 178,860.42 = 69,993 : x
  2. Step 2: Convert to fraction form
    129,609/178,860.42 = 69,993/x
  3. Step 3: Cross multiply
    129,609x = 178,860.42 × 69,993
  4. Step 4: Simplify right side
    129,609x = 12,518,977,377.06
  5. Step 5: Solve for x
    x = 12,518,977,377.06/129,609
  6. Step 6: Final answer
    x = 96,590.34

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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.