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Finding the Fourth Proportional to 210,014.70, 314,940.15 and 91,605.30

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Solution

The fourth proportional to 210,014.70, 314,940.15 and 91,605.30 is: 137,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,014.70 : 314,940.15 = 91,605.30 : x
  2. Step 2: Convert to fraction form
    210,014.70/314,940.15 = 91,605.30/x
  3. Step 3: Cross multiply
    210,014.70x = 314,940.15 × 91,605.30
  4. Step 4: Simplify right side
    210,014.70x = 28,850,186,922.80
  5. Step 5: Solve for x
    x = 28,850,186,922.80/210,014.70
  6. Step 6: Final answer
    x = 137,372.23

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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.