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Finding the Fourth Proportional to 86,716.54, 130,071.84 and 36,764.47

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Solution

The fourth proportional to 86,716.54, 130,071.84 and 36,764.47 is: 55,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,716.54 : 130,071.84 = 36,764.47 : x
  2. Step 2: Convert to fraction form
    86,716.54/130,071.84 = 36,764.47/x
  3. Step 3: Cross multiply
    86,716.54x = 130,071.84 × 36,764.47
  4. Step 4: Simplify right side
    86,716.54x = 4,782,022,259.52
  5. Step 5: Solve for x
    x = 4,782,022,259.52/86,716.54
  6. Step 6: Final answer
    x = 55,145.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.