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Finding the Fourth Proportional to 86,779, 119,755.10 and 47,035

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Solution

The fourth proportional to 86,779, 119,755.10 and 47,035 is: 64,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,779 : 119,755.10 = 47,035 : x
  2. Step 2: Convert to fraction form
    86,779/119,755.10 = 47,035/x
  3. Step 3: Cross multiply
    86,779x = 119,755.10 × 47,035
  4. Step 4: Simplify right side
    86,779x = 5,632,681,128.50
  5. Step 5: Solve for x
    x = 5,632,681,128.50/86,779
  6. Step 6: Final answer
    x = 64,908.34

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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.