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Finding the Fourth Proportional to 268,804.08, 403,266.24 and 81,830.16

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Solution

The fourth proportional to 268,804.08, 403,266.24 and 81,830.16 is: 122,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,804.08 : 403,266.24 = 81,830.16 : x
  2. Step 2: Convert to fraction form
    268,804.08/403,266.24 = 81,830.16/x
  3. Step 3: Cross multiply
    268,804.08x = 403,266.24 × 81,830.16
  4. Step 4: Simplify right side
    268,804.08x = 32,999,340,941.80
  5. Step 5: Solve for x
    x = 32,999,340,941.80/268,804.08
  6. Step 6: Final answer
    x = 122,763.54

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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.