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Finding the Fourth Proportional to 210,544.84, 315,942.30 and 77,518.54

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Solution

The fourth proportional to 210,544.84, 315,942.30 and 77,518.54 is: 116,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,544.84 : 315,942.30 = 77,518.54 : x
  2. Step 2: Convert to fraction form
    210,544.84/315,942.30 = 77,518.54/x
  3. Step 3: Cross multiply
    210,544.84x = 315,942.30 × 77,518.54
  4. Step 4: Simplify right side
    210,544.84x = 24,491,385,820.24
  5. Step 5: Solve for x
    x = 24,491,385,820.24/210,544.84
  6. Step 6: Final answer
    x = 116,323.85

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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.