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Finding the Fourth Proportional to 90,408, 135,612 and 35,004

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Solution

The fourth proportional to 90,408, 135,612 and 35,004 is: 52,506

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,408 : 135,612 = 35,004 : x
  2. Step 2: Convert to fraction form
    90,408/135,612 = 35,004/x
  3. Step 3: Cross multiply
    90,408x = 135,612 × 35,004
  4. Step 4: Simplify right side
    90,408x = 4,746,962,448
  5. Step 5: Solve for x
    x = 4,746,962,448/90,408
  6. Step 6: Final answer
    x = 52,506

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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.