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Finding the Fourth Proportional to 86,527.40, 129,849.15 and 30,367.40

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Solution

The fourth proportional to 86,527.40, 129,849.15 and 30,367.40 is: 45,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,527.40 : 129,849.15 = 30,367.40 : x
  2. Step 2: Convert to fraction form
    86,527.40/129,849.15 = 30,367.40/x
  3. Step 3: Cross multiply
    86,527.40x = 129,849.15 × 30,367.40
  4. Step 4: Simplify right side
    86,527.40x = 3,943,181,077.71
  5. Step 5: Solve for x
    x = 3,943,181,077.71/86,527.40
  6. Step 6: Final answer
    x = 45,571.47

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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.