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Finding the Fourth Proportional to 45,429.66, 68,125.02 and 15,838.74

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Solution

The fourth proportional to 45,429.66, 68,125.02 and 15,838.74 is: 23,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,429.66 : 68,125.02 = 15,838.74 : x
  2. Step 2: Convert to fraction form
    45,429.66/68,125.02 = 15,838.74/x
  3. Step 3: Cross multiply
    45,429.66x = 68,125.02 × 15,838.74
  4. Step 4: Simplify right side
    45,429.66x = 1,079,014,479.27
  5. Step 5: Solve for x
    x = 1,079,014,479.27/45,429.66
  6. Step 6: Final answer
    x = 23,751.32

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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.