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Finding the Fourth Proportional to 86,999.82, 130,551.57 and 31,600.14

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Solution

The fourth proportional to 86,999.82, 130,551.57 and 31,600.14 is: 47,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,999.82 : 130,551.57 = 31,600.14 : x
  2. Step 2: Convert to fraction form
    86,999.82/130,551.57 = 31,600.14/x
  3. Step 3: Cross multiply
    86,999.82x = 130,551.57 × 31,600.14
  4. Step 4: Simplify right side
    86,999.82x = 4,125,447,889.22
  5. Step 5: Solve for x
    x = 4,125,447,889.22/86,999.82
  6. Step 6: Final answer
    x = 47,419.04

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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.