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Finding the Fourth Proportional to 101,911.20, 152,866.80 and 78,583.20

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Solution

The fourth proportional to 101,911.20, 152,866.80 and 78,583.20 is: 117,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.20 : 152,866.80 = 78,583.20 : x
  2. Step 2: Convert to fraction form
    101,911.20/152,866.80 = 78,583.20/x
  3. Step 3: Cross multiply
    101,911.20x = 152,866.80 × 78,583.20
  4. Step 4: Simplify right side
    101,911.20x = 12,012,762,317.76
  5. Step 5: Solve for x
    x = 12,012,762,317.76/101,911.20
  6. Step 6: Final answer
    x = 117,874.80

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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.