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Finding the Fourth Proportional to 45,689.76, 68,544 and 19,394.40

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Solution

The fourth proportional to 45,689.76, 68,544 and 19,394.40 is: 29,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689.76 : 68,544 = 19,394.40 : x
  2. Step 2: Convert to fraction form
    45,689.76/68,544 = 19,394.40/x
  3. Step 3: Cross multiply
    45,689.76x = 68,544 × 19,394.40
  4. Step 4: Simplify right side
    45,689.76x = 1,329,369,753.60
  5. Step 5: Solve for x
    x = 1,329,369,753.60/45,689.76
  6. Step 6: Final answer
    x = 29,095.57

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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.