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Finding the Fourth Proportional to 86,165.98, 118,899.96 and 47,919.32

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Solution

The fourth proportional to 86,165.98, 118,899.96 and 47,919.32 is: 66,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,165.98 : 118,899.96 = 47,919.32 : x
  2. Step 2: Convert to fraction form
    86,165.98/118,899.96 = 47,919.32/x
  3. Step 3: Cross multiply
    86,165.98x = 118,899.96 × 47,919.32
  4. Step 4: Simplify right side
    86,165.98x = 5,697,605,231.23
  5. Step 5: Solve for x
    x = 5,697,605,231.23/86,165.98
  6. Step 6: Final answer
    x = 66,123.61

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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.