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Finding the Fourth Proportional to 210,610.53, 315,971.19 and 75,688.23

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Solution

The fourth proportional to 210,610.53, 315,971.19 and 75,688.23 is: 113,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,610.53 : 315,971.19 = 75,688.23 : x
  2. Step 2: Convert to fraction form
    210,610.53/315,971.19 = 75,688.23/x
  3. Step 3: Cross multiply
    210,610.53x = 315,971.19 × 75,688.23
  4. Step 4: Simplify right side
    210,610.53x = 23,915,300,102.09
  5. Step 5: Solve for x
    x = 23,915,300,102.09/210,610.53
  6. Step 6: Final answer
    x = 113,552.25

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1.5x scale

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.