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Finding the Fourth Proportional to 86,810, 130,228 and 31,418.96

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Solution

The fourth proportional to 86,810, 130,228 and 31,418.96 is: 47,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,810 : 130,228 = 31,418.96 : x
  2. Step 2: Convert to fraction form
    86,810/130,228 = 31,418.96/x
  3. Step 3: Cross multiply
    86,810x = 130,228 × 31,418.96
  4. Step 4: Simplify right side
    86,810x = 4,091,628,322.88
  5. Step 5: Solve for x
    x = 4,091,628,322.88/86,810
  6. Step 6: Final answer
    x = 47,133.15

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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.