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Finding the Fourth Proportional to 86,102.64, 118,820.78 and 47,861.18

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Solution

The fourth proportional to 86,102.64, 118,820.78 and 47,861.18 is: 66,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,102.64 : 118,820.78 = 47,861.18 : x
  2. Step 2: Convert to fraction form
    86,102.64/118,820.78 = 47,861.18/x
  3. Step 3: Cross multiply
    86,102.64x = 118,820.78 × 47,861.18
  4. Step 4: Simplify right side
    86,102.64x = 5,686,902,739.32
  5. Step 5: Solve for x
    x = 5,686,902,739.32/86,102.64
  6. Step 6: Final answer
    x = 66,047.95

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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.