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Finding the Fourth Proportional to 65,260, 90,051.16 and 38,396.60

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Solution

The fourth proportional to 65,260, 90,051.16 and 38,396.60 is: 52,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260 : 90,051.16 = 38,396.60 : x
  2. Step 2: Convert to fraction form
    65,260/90,051.16 = 38,396.60/x
  3. Step 3: Cross multiply
    65,260x = 90,051.16 × 38,396.60
  4. Step 4: Simplify right side
    65,260x = 3,457,658,370.06
  5. Step 5: Solve for x
    x = 3,457,658,370.06/65,260
  6. Step 6: Final answer
    x = 52,982.81

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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.