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Finding the Fourth Proportional to 210,431.66, 315,647.48 and 105,226.02

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Solution

The fourth proportional to 210,431.66, 315,647.48 and 105,226.02 is: 157,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,431.66 : 315,647.48 = 105,226.02 : x
  2. Step 2: Convert to fraction form
    210,431.66/315,647.48 = 105,226.02/x
  3. Step 3: Cross multiply
    210,431.66x = 315,647.48 × 105,226.02
  4. Step 4: Simplify right side
    210,431.66x = 33,214,328,306.49
  5. Step 5: Solve for x
    x = 33,214,328,306.49/210,431.66
  6. Step 6: Final answer
    x = 157,839.03

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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.