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Finding the Fourth Proportional to 268,971.80, 403,340.94 and 91,431.08

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Solution

The fourth proportional to 268,971.80, 403,340.94 and 91,431.08 is: 137,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,971.80 : 403,340.94 = 91,431.08 : x
  2. Step 2: Convert to fraction form
    268,971.80/403,340.94 = 91,431.08/x
  3. Step 3: Cross multiply
    268,971.80x = 403,340.94 × 91,431.08
  4. Step 4: Simplify right side
    268,971.80x = 36,877,897,752.42
  5. Step 5: Solve for x
    x = 36,877,897,752.42/268,971.80
  6. Step 6: Final answer
    x = 137,106.93

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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.