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Finding the Fourth Proportional to 210,537.66, 315,812.25 and 70,291.26

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Solution

The fourth proportional to 210,537.66, 315,812.25 and 70,291.26 is: 105,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,537.66 : 315,812.25 = 70,291.26 : x
  2. Step 2: Convert to fraction form
    210,537.66/315,812.25 = 70,291.26/x
  3. Step 3: Cross multiply
    210,537.66x = 315,812.25 × 70,291.26
  4. Step 4: Simplify right side
    210,537.66x = 22,198,840,975.94
  5. Step 5: Solve for x
    x = 22,198,840,975.94/210,537.66
  6. Step 6: Final answer
    x = 105,438.81

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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.