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Finding the Fourth Proportional to 81,411.81, 121,958.74 and 56,106.80

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Solution

The fourth proportional to 81,411.81, 121,958.74 and 56,106.80 is: 84,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.81 : 121,958.74 = 56,106.80 : x
  2. Step 2: Convert to fraction form
    81,411.81/121,958.74 = 56,106.80/x
  3. Step 3: Cross multiply
    81,411.81x = 121,958.74 × 56,106.80
  4. Step 4: Simplify right side
    81,411.81x = 6,842,714,633.43
  5. Step 5: Solve for x
    x = 6,842,714,633.43/81,411.81
  6. Step 6: Final answer
    x = 84,050.64

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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.