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Finding the Fourth Proportional to 86,804.70, 130,212.81 and 31,393.50

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Solution

The fourth proportional to 86,804.70, 130,212.81 and 31,393.50 is: 47,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,804.70 : 130,212.81 = 31,393.50 : x
  2. Step 2: Convert to fraction form
    86,804.70/130,212.81 = 31,393.50/x
  3. Step 3: Cross multiply
    86,804.70x = 130,212.81 × 31,393.50
  4. Step 4: Simplify right side
    86,804.70x = 4,087,835,850.74
  5. Step 5: Solve for x
    x = 4,087,835,850.74/86,804.70
  6. Step 6: Final answer
    x = 47,092.33

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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.