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Finding the Fourth Proportional to 196,673.20, 295,020.78 and 56,428

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Solution

The fourth proportional to 196,673.20, 295,020.78 and 56,428 is: 84,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,673.20 : 295,020.78 = 56,428 : x
  2. Step 2: Convert to fraction form
    196,673.20/295,020.78 = 56,428/x
  3. Step 3: Cross multiply
    196,673.20x = 295,020.78 × 56,428
  4. Step 4: Simplify right side
    196,673.20x = 16,647,432,573.84
  5. Step 5: Solve for x
    x = 16,647,432,573.84/196,673.20
  6. Step 6: Final answer
    x = 84,645.15

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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.