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Finding the Fourth Proportional to 210,322.70, 315,812.10 and 121,749.20

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Solution

The fourth proportional to 210,322.70, 315,812.10 and 121,749.20 is: 182,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,322.70 : 315,812.10 = 121,749.20 : x
  2. Step 2: Convert to fraction form
    210,322.70/315,812.10 = 121,749.20/x
  3. Step 3: Cross multiply
    210,322.70x = 315,812.10 × 121,749.20
  4. Step 4: Simplify right side
    210,322.70x = 38,449,870,525.32
  5. Step 5: Solve for x
    x = 38,449,870,525.32/210,322.70
  6. Step 6: Final answer
    x = 182,813.70

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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.