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Finding the Fourth Proportional to 86,786, 130,191.96 and 31,394.96

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Solution

The fourth proportional to 86,786, 130,191.96 and 31,394.96 is: 47,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,786 : 130,191.96 = 31,394.96 : x
  2. Step 2: Convert to fraction form
    86,786/130,191.96 = 31,394.96/x
  3. Step 3: Cross multiply
    86,786x = 130,191.96 × 31,394.96
  4. Step 4: Simplify right side
    86,786x = 4,087,371,376.52
  5. Step 5: Solve for x
    x = 4,087,371,376.52/86,786
  6. Step 6: Final answer
    x = 47,097.13

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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.