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Finding the Fourth Proportional to 279,963.54, 420,030.09 and 100,025.40

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Solution

The fourth proportional to 279,963.54, 420,030.09 and 100,025.40 is: 150,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,963.54 : 420,030.09 = 100,025.40 : x
  2. Step 2: Convert to fraction form
    279,963.54/420,030.09 = 100,025.40/x
  3. Step 3: Cross multiply
    279,963.54x = 420,030.09 × 100,025.40
  4. Step 4: Simplify right side
    279,963.54x = 42,013,677,764.29
  5. Step 5: Solve for x
    x = 42,013,677,764.29/279,963.54
  6. Step 6: Final answer
    x = 150,068.39

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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.