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Finding the Fourth Proportional to 210,627.56, 315,996.72 and 75,705.24

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Solution

The fourth proportional to 210,627.56, 315,996.72 and 75,705.24 is: 113,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,627.56 : 315,996.72 = 75,705.24 : x
  2. Step 2: Convert to fraction form
    210,627.56/315,996.72 = 75,705.24/x
  3. Step 3: Cross multiply
    210,627.56x = 315,996.72 × 75,705.24
  4. Step 4: Simplify right side
    210,627.56x = 23,922,607,526.81
  5. Step 5: Solve for x
    x = 23,922,607,526.81/210,627.56
  6. Step 6: Final answer
    x = 113,577.77

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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.