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Finding the Fourth Proportional to 74,032, 102,164.16 and 40,498.72

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Solution

The fourth proportional to 74,032, 102,164.16 and 40,498.72 is: 55,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,032 : 102,164.16 = 40,498.72 : x
  2. Step 2: Convert to fraction form
    74,032/102,164.16 = 40,498.72/x
  3. Step 3: Cross multiply
    74,032x = 102,164.16 × 40,498.72
  4. Step 4: Simplify right side
    74,032x = 4,137,517,709.88
  5. Step 5: Solve for x
    x = 4,137,517,709.88/74,032
  6. Step 6: Final answer
    x = 55,888.23

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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.