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Finding the Fourth Proportional to 72,488.92, 108,728.52 and 19,894

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Solution

The fourth proportional to 72,488.92, 108,728.52 and 19,894 is: 29,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,488.92 : 108,728.52 = 19,894 : x
  2. Step 2: Convert to fraction form
    72,488.92/108,728.52 = 19,894/x
  3. Step 3: Cross multiply
    72,488.92x = 108,728.52 × 19,894
  4. Step 4: Simplify right side
    72,488.92x = 2,163,045,176.88
  5. Step 5: Solve for x
    x = 2,163,045,176.88/72,488.92
  6. Step 6: Final answer
    x = 29,839.67

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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.