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Finding the Fourth Proportional to 74,192, 102,384.96 and 40,657.28

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Solution

The fourth proportional to 74,192, 102,384.96 and 40,657.28 is: 56,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192 : 102,384.96 = 40,657.28 : x
  2. Step 2: Convert to fraction form
    74,192/102,384.96 = 40,657.28/x
  3. Step 3: Cross multiply
    74,192x = 102,384.96 × 40,657.28
  4. Step 4: Simplify right side
    74,192x = 4,162,693,986.51
  5. Step 5: Solve for x
    x = 4,162,693,986.51/74,192
  6. Step 6: Final answer
    x = 56,107.05

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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.