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Finding the Fourth Proportional to 74,458.76, 102,866.10 and 55,563.08

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Solution

The fourth proportional to 74,458.76, 102,866.10 and 55,563.08 is: 76,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458.76 : 102,866.10 = 55,563.08 : x
  2. Step 2: Convert to fraction form
    74,458.76/102,866.10 = 55,563.08/x
  3. Step 3: Cross multiply
    74,458.76x = 102,866.10 × 55,563.08
  4. Step 4: Simplify right side
    74,458.76x = 5,715,557,343.59
  5. Step 5: Solve for x
    x = 5,715,557,343.59/74,458.76
  6. Step 6: Final answer
    x = 76,761.38

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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.