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Finding the Fourth Proportional to 210,939.60, 315,948.60 and 163,822.80

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Solution

The fourth proportional to 210,939.60, 315,948.60 and 163,822.80 is: 245,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,939.60 : 315,948.60 = 163,822.80 : x
  2. Step 2: Convert to fraction form
    210,939.60/315,948.60 = 163,822.80/x
  3. Step 3: Cross multiply
    210,939.60x = 315,948.60 × 163,822.80
  4. Step 4: Simplify right side
    210,939.60x = 51,759,584,308.08
  5. Step 5: Solve for x
    x = 51,759,584,308.08/210,939.60
  6. Step 6: Final answer
    x = 245,376.33

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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.