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Finding the Fourth Proportional to 86,315.76, 129,419.64 and 36,370.08

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Solution

The fourth proportional to 86,315.76, 129,419.64 and 36,370.08 is: 54,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,315.76 : 129,419.64 = 36,370.08 : x
  2. Step 2: Convert to fraction form
    86,315.76/129,419.64 = 36,370.08/x
  3. Step 3: Cross multiply
    86,315.76x = 129,419.64 × 36,370.08
  4. Step 4: Simplify right side
    86,315.76x = 4,707,002,660.37
  5. Step 5: Solve for x
    x = 4,707,002,660.37/86,315.76
  6. Step 6: Final answer
    x = 54,532.37

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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.