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Finding the Fourth Proportional to 59,817.30, 89,738.10 and 20,378.40

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Solution

The fourth proportional to 59,817.30, 89,738.10 and 20,378.40 is: 30,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,817.30 : 89,738.10 = 20,378.40 : x
  2. Step 2: Convert to fraction form
    59,817.30/89,738.10 = 20,378.40/x
  3. Step 3: Cross multiply
    59,817.30x = 89,738.10 × 20,378.40
  4. Step 4: Simplify right side
    59,817.30x = 1,828,718,897.04
  5. Step 5: Solve for x
    x = 1,828,718,897.04/59,817.30
  6. Step 6: Final answer
    x = 30,571.74

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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.