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Finding the Fourth Proportional to 152,109.40, 209,878.14 and 88,414.60

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Solution

The fourth proportional to 152,109.40, 209,878.14 and 88,414.60 is: 121,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,109.40 : 209,878.14 = 88,414.60 : x
  2. Step 2: Convert to fraction form
    152,109.40/209,878.14 = 88,414.60/x
  3. Step 3: Cross multiply
    152,109.40x = 209,878.14 × 88,414.60
  4. Step 4: Simplify right side
    152,109.40x = 18,556,291,796.84
  5. Step 5: Solve for x
    x = 18,556,291,796.84/152,109.40
  6. Step 6: Final answer
    x = 121,993.06

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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.