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Finding the Fourth Proportional to 210,606.53, 315,965.19 and 75,684.23

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Solution

The fourth proportional to 210,606.53, 315,965.19 and 75,684.23 is: 113,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,606.53 : 315,965.19 = 75,684.23 : x
  2. Step 2: Convert to fraction form
    210,606.53/315,965.19 = 75,684.23/x
  3. Step 3: Cross multiply
    210,606.53x = 315,965.19 × 75,684.23
  4. Step 4: Simplify right side
    210,606.53x = 23,913,582,111.95
  5. Step 5: Solve for x
    x = 23,913,582,111.95/210,606.53
  6. Step 6: Final answer
    x = 113,546.25

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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.