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Finding the Fourth Proportional to 210,469.75, 315,829.18 and 77,443.42

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Solution

The fourth proportional to 210,469.75, 315,829.18 and 77,443.42 is: 116,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,469.75 : 315,829.18 = 77,443.42 : x
  2. Step 2: Convert to fraction form
    210,469.75/315,829.18 = 77,443.42/x
  3. Step 3: Cross multiply
    210,469.75x = 315,829.18 × 77,443.42
  4. Step 4: Simplify right side
    210,469.75x = 24,458,892,036.17
  5. Step 5: Solve for x
    x = 24,458,892,036.17/210,469.75
  6. Step 6: Final answer
    x = 116,210.96

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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.