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Finding the Fourth Proportional to 81,954.40, 122,926.74 and 28,642.63

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Solution

The fourth proportional to 81,954.40, 122,926.74 and 28,642.63 is: 42,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,954.40 : 122,926.74 = 28,642.63 : x
  2. Step 2: Convert to fraction form
    81,954.40/122,926.74 = 28,642.63/x
  3. Step 3: Cross multiply
    81,954.40x = 122,926.74 × 28,642.63
  4. Step 4: Simplify right side
    81,954.40x = 3,520,945,130.93
  5. Step 5: Solve for x
    x = 3,520,945,130.93/81,954.40
  6. Step 6: Final answer
    x = 42,962.25

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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.