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Finding the Fourth Proportional to 74,745.51, 103,146.90 and 40,754.06

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Solution

The fourth proportional to 74,745.51, 103,146.90 and 40,754.06 is: 56,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,745.51 : 103,146.90 = 40,754.06 : x
  2. Step 2: Convert to fraction form
    74,745.51/103,146.90 = 40,754.06/x
  3. Step 3: Cross multiply
    74,745.51x = 103,146.90 × 40,754.06
  4. Step 4: Simplify right side
    74,745.51x = 4,203,655,479.10
  5. Step 5: Solve for x
    x = 4,203,655,479.10/74,745.51
  6. Step 6: Final answer
    x = 56,239.57

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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.