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Finding the Fourth Proportional to 65,915, 90,962.23 and 35,699.63

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Solution

The fourth proportional to 65,915, 90,962.23 and 35,699.63 is: 49,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,915 : 90,962.23 = 35,699.63 : x
  2. Step 2: Convert to fraction form
    65,915/90,962.23 = 35,699.63/x
  3. Step 3: Cross multiply
    65,915x = 90,962.23 × 35,699.63
  4. Step 4: Simplify right side
    65,915x = 3,247,317,954.97
  5. Step 5: Solve for x
    x = 3,247,317,954.97/65,915
  6. Step 6: Final answer
    x = 49,265.23

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1.5x scale

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.