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Finding the Fourth Proportional to 78,246.91, 107,982.21 and 48,017.10

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Solution

The fourth proportional to 78,246.91, 107,982.21 and 48,017.10 is: 66,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246.91 : 107,982.21 = 48,017.10 : x
  2. Step 2: Convert to fraction form
    78,246.91/107,982.21 = 48,017.10/x
  3. Step 3: Cross multiply
    78,246.91x = 107,982.21 × 48,017.10
  4. Step 4: Simplify right side
    78,246.91x = 5,184,993,160.79
  5. Step 5: Solve for x
    x = 5,184,993,160.79/78,246.91
  6. Step 6: Final answer
    x = 66,264.51

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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.