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Finding the Fourth Proportional to 271,036.95, 406,927.83 and 138,006.60

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Solution

The fourth proportional to 271,036.95, 406,927.83 and 138,006.60 is: 207,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,036.95 : 406,927.83 = 138,006.60 : x
  2. Step 2: Convert to fraction form
    271,036.95/406,927.83 = 138,006.60/x
  3. Step 3: Cross multiply
    271,036.95x = 406,927.83 × 138,006.60
  4. Step 4: Simplify right side
    271,036.95x = 56,158,726,263.68
  5. Step 5: Solve for x
    x = 56,158,726,263.68/271,036.95
  6. Step 6: Final answer
    x = 207,199.52

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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.