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Finding the Fourth Proportional to 90,405, 135,607.50 and 35,001

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Solution

The fourth proportional to 90,405, 135,607.50 and 35,001 is: 52,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405 : 135,607.50 = 35,001 : x
  2. Step 2: Convert to fraction form
    90,405/135,607.50 = 35,001/x
  3. Step 3: Cross multiply
    90,405x = 135,607.50 × 35,001
  4. Step 4: Simplify right side
    90,405x = 4,746,398,107.50
  5. Step 5: Solve for x
    x = 4,746,398,107.50/90,405
  6. Step 6: Final answer
    x = 52,501.50

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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.