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Finding the Fourth Proportional to 210,513.80, 315,770.70 and 121,721.60

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Solution

The fourth proportional to 210,513.80, 315,770.70 and 121,721.60 is: 182,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,513.80 : 315,770.70 = 121,721.60 : x
  2. Step 2: Convert to fraction form
    210,513.80/315,770.70 = 121,721.60/x
  3. Step 3: Cross multiply
    210,513.80x = 315,770.70 × 121,721.60
  4. Step 4: Simplify right side
    210,513.80x = 38,436,114,837.12
  5. Step 5: Solve for x
    x = 38,436,114,837.12/210,513.80
  6. Step 6: Final answer
    x = 182,582.40

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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.