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Finding the Fourth Proportional to 210,652.80, 290,704.32 and 125,777.28

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Solution

The fourth proportional to 210,652.80, 290,704.32 and 125,777.28 is: 173,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,652.80 : 290,704.32 = 125,777.28 : x
  2. Step 2: Convert to fraction form
    210,652.80/290,704.32 = 125,777.28/x
  3. Step 3: Cross multiply
    210,652.80x = 290,704.32 × 125,777.28
  4. Step 4: Simplify right side
    210,652.80x = 36,563,998,653.85
  5. Step 5: Solve for x
    x = 36,563,998,653.85/210,652.80
  6. Step 6: Final answer
    x = 173,574.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.