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Finding the Fourth Proportional to 48,678, 67,114.72 and 40,623.24

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Solution

The fourth proportional to 48,678, 67,114.72 and 40,623.24 is: 56,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,678 : 67,114.72 = 40,623.24 : x
  2. Step 2: Convert to fraction form
    48,678/67,114.72 = 40,623.24/x
  3. Step 3: Cross multiply
    48,678x = 67,114.72 × 40,623.24
  4. Step 4: Simplify right side
    48,678x = 2,726,417,378.09
  5. Step 5: Solve for x
    x = 2,726,417,378.09/48,678
  6. Step 6: Final answer
    x = 56,009.23

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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.