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Finding the Fourth Proportional to 74,145.78, 102,320.82 and 40,611.78

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Solution

The fourth proportional to 74,145.78, 102,320.82 and 40,611.78 is: 56,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145.78 : 102,320.82 = 40,611.78 : x
  2. Step 2: Convert to fraction form
    74,145.78/102,320.82 = 40,611.78/x
  3. Step 3: Cross multiply
    74,145.78x = 102,320.82 × 40,611.78
  4. Step 4: Simplify right side
    74,145.78x = 4,155,430,631.26
  5. Step 5: Solve for x
    x = 4,155,430,631.26/74,145.78
  6. Step 6: Final answer
    x = 56,044.06

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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.