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Finding the Fourth Proportional to 268,852.16, 403,338.24 and 81,878.08

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Solution

The fourth proportional to 268,852.16, 403,338.24 and 81,878.08 is: 122,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,852.16 : 403,338.24 = 81,878.08 : x
  2. Step 2: Convert to fraction form
    268,852.16/403,338.24 = 81,878.08/x
  3. Step 3: Cross multiply
    268,852.16x = 403,338.24 × 81,878.08
  4. Step 4: Simplify right side
    268,852.16x = 33,024,560,681.78
  5. Step 5: Solve for x
    x = 33,024,560,681.78/268,852.16
  6. Step 6: Final answer
    x = 122,835.39

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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.