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Finding the Fourth Proportional to 65,415, 90,273.42 and 35,607

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Solution

The fourth proportional to 65,415, 90,273.42 and 35,607 is: 49,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,415 : 90,273.42 = 35,607 : x
  2. Step 2: Convert to fraction form
    65,415/90,273.42 = 35,607/x
  3. Step 3: Cross multiply
    65,415x = 90,273.42 × 35,607
  4. Step 4: Simplify right side
    65,415x = 3,214,365,665.94
  5. Step 5: Solve for x
    x = 3,214,365,665.94/65,415
  6. Step 6: Final answer
    x = 49,138.05

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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.