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Finding the Fourth Proportional to 101,980.60, 152,911.50 and 39,578.20

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Solution

The fourth proportional to 101,980.60, 152,911.50 and 39,578.20 is: 59,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.60 : 152,911.50 = 39,578.20 : x
  2. Step 2: Convert to fraction form
    101,980.60/152,911.50 = 39,578.20/x
  3. Step 3: Cross multiply
    101,980.60x = 152,911.50 × 39,578.20
  4. Step 4: Simplify right side
    101,980.60x = 6,051,961,929.30
  5. Step 5: Solve for x
    x = 6,051,961,929.30/101,980.60
  6. Step 6: Final answer
    x = 59,344.25

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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.