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Finding the Fourth Proportional to 86,361, 129,485.84 and 36,427.74

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Solution

The fourth proportional to 86,361, 129,485.84 and 36,427.74 is: 54,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,361 : 129,485.84 = 36,427.74 : x
  2. Step 2: Convert to fraction form
    86,361/129,485.84 = 36,427.74/x
  3. Step 3: Cross multiply
    86,361x = 129,485.84 × 36,427.74
  4. Step 4: Simplify right side
    86,361x = 4,716,876,331.06
  5. Step 5: Solve for x
    x = 4,716,876,331.06/86,361
  6. Step 6: Final answer
    x = 54,618.13

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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.