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Finding the Fourth Proportional to 74,506.23, 102,800.57 and 47,272.38

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Solution

The fourth proportional to 74,506.23, 102,800.57 and 47,272.38 is: 65,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,506.23 : 102,800.57 = 47,272.38 : x
  2. Step 2: Convert to fraction form
    74,506.23/102,800.57 = 47,272.38/x
  3. Step 3: Cross multiply
    74,506.23x = 102,800.57 × 47,272.38
  4. Step 4: Simplify right side
    74,506.23x = 4,859,627,987.73
  5. Step 5: Solve for x
    x = 4,859,627,987.73/74,506.23
  6. Step 6: Final answer
    x = 65,224.45

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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.