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Finding the Fourth Proportional to 65,650, 90,597.36 and 35,842

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Solution

The fourth proportional to 65,650, 90,597.36 and 35,842 is: 49,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650 : 90,597.36 = 35,842 : x
  2. Step 2: Convert to fraction form
    65,650/90,597.36 = 35,842/x
  3. Step 3: Cross multiply
    65,650x = 90,597.36 × 35,842
  4. Step 4: Simplify right side
    65,650x = 3,247,190,577.12
  5. Step 5: Solve for x
    x = 3,247,190,577.12/65,650
  6. Step 6: Final answer
    x = 49,462.16

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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.