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Finding the Fourth Proportional to 78,066.96, 107,745.04 and 47,868.96

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Solution

The fourth proportional to 78,066.96, 107,745.04 and 47,868.96 is: 66,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,066.96 : 107,745.04 = 47,868.96 : x
  2. Step 2: Convert to fraction form
    78,066.96/107,745.04 = 47,868.96/x
  3. Step 3: Cross multiply
    78,066.96x = 107,745.04 × 47,868.96
  4. Step 4: Simplify right side
    78,066.96x = 5,157,643,009.96
  5. Step 5: Solve for x
    x = 5,157,643,009.96/78,066.96
  6. Step 6: Final answer
    x = 66,066.91

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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.