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Finding the Fourth Proportional to 86,841.94, 130,194.86 and 34,290.76

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Solution

The fourth proportional to 86,841.94, 130,194.86 and 34,290.76 is: 51,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,841.94 : 130,194.86 = 34,290.76 : x
  2. Step 2: Convert to fraction form
    86,841.94/130,194.86 = 34,290.76/x
  3. Step 3: Cross multiply
    86,841.94x = 130,194.86 × 34,290.76
  4. Step 4: Simplify right side
    86,841.94x = 4,464,480,697.49
  5. Step 5: Solve for x
    x = 4,464,480,697.49/86,841.94
  6. Step 6: Final answer
    x = 51,409.27

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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.