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Finding the Fourth Proportional to 74,146.89, 102,322.74 and 40,612.89

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Solution

The fourth proportional to 74,146.89, 102,322.74 and 40,612.89 is: 56,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146.89 : 102,322.74 = 40,612.89 : x
  2. Step 2: Convert to fraction form
    74,146.89/102,322.74 = 40,612.89/x
  3. Step 3: Cross multiply
    74,146.89x = 102,322.74 × 40,612.89
  4. Step 4: Simplify right side
    74,146.89x = 4,155,622,184.12
  5. Step 5: Solve for x
    x = 4,155,622,184.12/74,146.89
  6. Step 6: Final answer
    x = 56,045.81

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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.