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Finding the Fourth Proportional to 81,133.80, 121,679.10 and 24,973.80

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Solution

The fourth proportional to 81,133.80, 121,679.10 and 24,973.80 is: 37,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,133.80 : 121,679.10 = 24,973.80 : x
  2. Step 2: Convert to fraction form
    81,133.80/121,679.10 = 24,973.80/x
  3. Step 3: Cross multiply
    81,133.80x = 121,679.10 × 24,973.80
  4. Step 4: Simplify right side
    81,133.80x = 3,038,789,507.58
  5. Step 5: Solve for x
    x = 3,038,789,507.58/81,133.80
  6. Step 6: Final answer
    x = 37,454.05

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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.