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Finding the Fourth Proportional to 78,460.89, 108,278.40 and 44,469.45

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Solution

The fourth proportional to 78,460.89, 108,278.40 and 44,469.45 is: 61,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460.89 : 108,278.40 = 44,469.45 : x
  2. Step 2: Convert to fraction form
    78,460.89/108,278.40 = 44,469.45/x
  3. Step 3: Cross multiply
    78,460.89x = 108,278.40 × 44,469.45
  4. Step 4: Simplify right side
    78,460.89x = 4,815,080,894.88
  5. Step 5: Solve for x
    x = 4,815,080,894.88/78,460.89
  6. Step 6: Final answer
    x = 61,369.19

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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.