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Finding the Fourth Proportional to 76,798, 105,986.68 and 43,264

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Solution

The fourth proportional to 76,798, 105,986.68 and 43,264 is: 59,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798 : 105,986.68 = 43,264 : x
  2. Step 2: Convert to fraction form
    76,798/105,986.68 = 43,264/x
  3. Step 3: Cross multiply
    76,798x = 105,986.68 × 43,264
  4. Step 4: Simplify right side
    76,798x = 4,585,407,723.52
  5. Step 5: Solve for x
    x = 4,585,407,723.52/76,798
  6. Step 6: Final answer
    x = 59,707.38

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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.