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Finding the Fourth Proportional to 86,594.52, 129,911.22 and 30,438.48

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Solution

The fourth proportional to 86,594.52, 129,911.22 and 30,438.48 is: 45,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,594.52 : 129,911.22 = 30,438.48 : x
  2. Step 2: Convert to fraction form
    86,594.52/129,911.22 = 30,438.48/x
  3. Step 3: Cross multiply
    86,594.52x = 129,911.22 × 30,438.48
  4. Step 4: Simplify right side
    86,594.52x = 3,954,300,071.75
  5. Step 5: Solve for x
    x = 3,954,300,071.75/86,594.52
  6. Step 6: Final answer
    x = 45,664.55

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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.