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Finding the Fourth Proportional to 74,575.65, 102,869.28 and 47,708.76

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Solution

The fourth proportional to 74,575.65, 102,869.28 and 47,708.76 is: 65,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575.65 : 102,869.28 = 47,708.76 : x
  2. Step 2: Convert to fraction form
    74,575.65/102,869.28 = 47,708.76/x
  3. Step 3: Cross multiply
    74,575.65x = 102,869.28 × 47,708.76
  4. Step 4: Simplify right side
    74,575.65x = 4,907,765,790.89
  5. Step 5: Solve for x
    x = 4,907,765,790.89/74,575.65
  6. Step 6: Final answer
    x = 65,809.23

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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.