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Finding the Fourth Proportional to 208,040.80, 312,169.20 and 97,232.80

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Solution

The fourth proportional to 208,040.80, 312,169.20 and 97,232.80 is: 145,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040.80 : 312,169.20 = 97,232.80 : x
  2. Step 2: Convert to fraction form
    208,040.80/312,169.20 = 97,232.80/x
  3. Step 3: Cross multiply
    208,040.80x = 312,169.20 × 97,232.80
  4. Step 4: Simplify right side
    208,040.80x = 30,353,085,389.76
  5. Step 5: Solve for x
    x = 30,353,085,389.76/208,040.80
  6. Step 6: Final answer
    x = 145,899.68

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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.