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Finding the Fourth Proportional to 101,699.20, 152,203.20 and 89,257.60

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Solution

The fourth proportional to 101,699.20, 152,203.20 and 89,257.60 is: 133,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,699.20 : 152,203.20 = 89,257.60 : x
  2. Step 2: Convert to fraction form
    101,699.20/152,203.20 = 89,257.60/x
  3. Step 3: Cross multiply
    101,699.20x = 152,203.20 × 89,257.60
  4. Step 4: Simplify right side
    101,699.20x = 13,585,292,344.32
  5. Step 5: Solve for x
    x = 13,585,292,344.32/101,699.20
  6. Step 6: Final answer
    x = 133,583.08

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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.