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Finding the Fourth Proportional to 65,522, 90,420.40 and 35,714

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Solution

The fourth proportional to 65,522, 90,420.40 and 35,714 is: 49,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522 : 90,420.40 = 35,714 : x
  2. Step 2: Convert to fraction form
    65,522/90,420.40 = 35,714/x
  3. Step 3: Cross multiply
    65,522x = 90,420.40 × 35,714
  4. Step 4: Simplify right side
    65,522x = 3,229,274,165.60
  5. Step 5: Solve for x
    x = 3,229,274,165.60/65,522
  6. Step 6: Final answer
    x = 49,285.34

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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.