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Finding the Fourth Proportional to 81,583.94, 122,376.99 and 31,666.88

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Solution

The fourth proportional to 81,583.94, 122,376.99 and 31,666.88 is: 47,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,583.94 : 122,376.99 = 31,666.88 : x
  2. Step 2: Convert to fraction form
    81,583.94/122,376.99 = 31,666.88/x
  3. Step 3: Cross multiply
    81,583.94x = 122,376.99 × 31,666.88
  4. Step 4: Simplify right side
    81,583.94x = 3,875,297,457.09
  5. Step 5: Solve for x
    x = 3,875,297,457.09/81,583.94
  6. Step 6: Final answer
    x = 47,500.74

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1.5x scale

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.