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Finding the Fourth Proportional to 65,255.40, 97,818.30 and 30,133.80

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Solution

The fourth proportional to 65,255.40, 97,818.30 and 30,133.80 is: 45,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.40 : 97,818.30 = 30,133.80 : x
  2. Step 2: Convert to fraction form
    65,255.40/97,818.30 = 30,133.80/x
  3. Step 3: Cross multiply
    65,255.40x = 97,818.30 × 30,133.80
  4. Step 4: Simplify right side
    65,255.40x = 2,947,637,088.54
  5. Step 5: Solve for x
    x = 2,947,637,088.54/65,255.40
  6. Step 6: Final answer
    x = 45,170.78

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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.