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Finding the Fourth Proportional to 103,289.76, 154,940.40 and 29,412

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Solution

The fourth proportional to 103,289.76, 154,940.40 and 29,412 is: 44,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,289.76 : 154,940.40 = 29,412 : x
  2. Step 2: Convert to fraction form
    103,289.76/154,940.40 = 29,412/x
  3. Step 3: Cross multiply
    103,289.76x = 154,940.40 × 29,412
  4. Step 4: Simplify right side
    103,289.76x = 4,557,107,044.80
  5. Step 5: Solve for x
    x = 4,557,107,044.80/103,289.76
  6. Step 6: Final answer
    x = 44,119.64

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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.