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Finding the Fourth Proportional to 74,416.56, 102,669.03 and 47,574.78

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Solution

The fourth proportional to 74,416.56, 102,669.03 and 47,574.78 is: 65,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416.56 : 102,669.03 = 47,574.78 : x
  2. Step 2: Convert to fraction form
    74,416.56/102,669.03 = 47,574.78/x
  3. Step 3: Cross multiply
    74,416.56x = 102,669.03 × 47,574.78
  4. Step 4: Simplify right side
    74,416.56x = 4,884,456,515.06
  5. Step 5: Solve for x
    x = 4,884,456,515.06/74,416.56
  6. Step 6: Final answer
    x = 65,636.69

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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.