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Finding the Fourth Proportional to 72,798, 100,458.78 and 40,965

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Solution

The fourth proportional to 72,798, 100,458.78 and 40,965 is: 56,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798 : 100,458.78 = 40,965 : x
  2. Step 2: Convert to fraction form
    72,798/100,458.78 = 40,965/x
  3. Step 3: Cross multiply
    72,798x = 100,458.78 × 40,965
  4. Step 4: Simplify right side
    72,798x = 4,115,293,922.70
  5. Step 5: Solve for x
    x = 4,115,293,922.70/72,798
  6. Step 6: Final answer
    x = 56,530.32

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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.