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Finding the Fourth Proportional to 82,940.90, 124,417.82 and 30,349.22

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Solution

The fourth proportional to 82,940.90, 124,417.82 and 30,349.22 is: 45,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.90 : 124,417.82 = 30,349.22 : x
  2. Step 2: Convert to fraction form
    82,940.90/124,417.82 = 30,349.22/x
  3. Step 3: Cross multiply
    82,940.90x = 124,417.82 × 30,349.22
  4. Step 4: Simplify right side
    82,940.90x = 3,775,983,244.88
  5. Step 5: Solve for x
    x = 3,775,983,244.88/82,940.90
  6. Step 6: Final answer
    x = 45,526.19

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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.