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Finding the Fourth Proportional to 74,706.91, 103,106.52 and 49,209.19

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Solution

The fourth proportional to 74,706.91, 103,106.52 and 49,209.19 is: 67,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,706.91 : 103,106.52 = 49,209.19 : x
  2. Step 2: Convert to fraction form
    74,706.91/103,106.52 = 49,209.19/x
  3. Step 3: Cross multiply
    74,706.91x = 103,106.52 × 49,209.19
  4. Step 4: Simplify right side
    74,706.91x = 5,073,788,277.27
  5. Step 5: Solve for x
    x = 5,073,788,277.27/74,706.91
  6. Step 6: Final answer
    x = 67,915.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.