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Finding the Fourth Proportional to 74,142, 102,316.32 and 40,608

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Solution

The fourth proportional to 74,142, 102,316.32 and 40,608 is: 56,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,142 : 102,316.32 = 40,608 : x
  2. Step 2: Convert to fraction form
    74,142/102,316.32 = 40,608/x
  3. Step 3: Cross multiply
    74,142x = 102,316.32 × 40,608
  4. Step 4: Simplify right side
    74,142x = 4,154,861,122.56
  5. Step 5: Solve for x
    x = 4,154,861,122.56/74,142
  6. Step 6: Final answer
    x = 56,039.24

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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.