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Finding the Fourth Proportional to 82,916, 124,374 and 30,296.80

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Solution

The fourth proportional to 82,916, 124,374 and 30,296.80 is: 45,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,916 : 124,374 = 30,296.80 : x
  2. Step 2: Convert to fraction form
    82,916/124,374 = 30,296.80/x
  3. Step 3: Cross multiply
    82,916x = 124,374 × 30,296.80
  4. Step 4: Simplify right side
    82,916x = 3,768,134,203.20
  5. Step 5: Solve for x
    x = 3,768,134,203.20/82,916
  6. Step 6: Final answer
    x = 45,445.20

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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.