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Finding the Fourth Proportional to 74,191.68, 102,384 and 40,656.96

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Solution

The fourth proportional to 74,191.68, 102,384 and 40,656.96 is: 56,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,191.68 : 102,384 = 40,656.96 : x
  2. Step 2: Convert to fraction form
    74,191.68/102,384 = 40,656.96/x
  3. Step 3: Cross multiply
    74,191.68x = 102,384 × 40,656.96
  4. Step 4: Simplify right side
    74,191.68x = 4,162,622,192.64
  5. Step 5: Solve for x
    x = 4,162,622,192.64/74,191.68
  6. Step 6: Final answer
    x = 56,106.32

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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.