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Finding the Fourth Proportional to 74,012.72, 102,138.36 and 40,478

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Solution

The fourth proportional to 74,012.72, 102,138.36 and 40,478 is: 55,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,012.72 : 102,138.36 = 40,478 : x
  2. Step 2: Convert to fraction form
    74,012.72/102,138.36 = 40,478/x
  3. Step 3: Cross multiply
    74,012.72x = 102,138.36 × 40,478
  4. Step 4: Simplify right side
    74,012.72x = 4,134,356,536.08
  5. Step 5: Solve for x
    x = 4,134,356,536.08/74,012.72
  6. Step 6: Final answer
    x = 55,860.08

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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.