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Finding the Fourth Proportional to 45,730.64, 68,535.80 and 19,402.80

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Solution

The fourth proportional to 45,730.64, 68,535.80 and 19,402.80 is: 29,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730.64 : 68,535.80 = 19,402.80 : x
  2. Step 2: Convert to fraction form
    45,730.64/68,535.80 = 19,402.80/x
  3. Step 3: Cross multiply
    45,730.64x = 68,535.80 × 19,402.80
  4. Step 4: Simplify right side
    45,730.64x = 1,329,786,420.24
  5. Step 5: Solve for x
    x = 1,329,786,420.24/45,730.64
  6. Step 6: Final answer
    x = 29,078.68

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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.