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Finding the Fourth Proportional to 65,230.80, 97,781.40 and 31,923.60

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Solution

The fourth proportional to 65,230.80, 97,781.40 and 31,923.60 is: 47,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.80 : 97,781.40 = 31,923.60 : x
  2. Step 2: Convert to fraction form
    65,230.80/97,781.40 = 31,923.60/x
  3. Step 3: Cross multiply
    65,230.80x = 97,781.40 × 31,923.60
  4. Step 4: Simplify right side
    65,230.80x = 3,121,534,301.04
  5. Step 5: Solve for x
    x = 3,121,534,301.04/65,230.80
  6. Step 6: Final answer
    x = 47,853.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.