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Finding the Fourth Proportional to 223,362.78, 308,232.18 and 127,878.36

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Solution

The fourth proportional to 223,362.78, 308,232.18 and 127,878.36 is: 176,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,362.78 : 308,232.18 = 127,878.36 : x
  2. Step 2: Convert to fraction form
    223,362.78/308,232.18 = 127,878.36/x
  3. Step 3: Cross multiply
    223,362.78x = 308,232.18 × 127,878.36
  4. Step 4: Simplify right side
    223,362.78x = 39,416,225,677.62
  5. Step 5: Solve for x
    x = 39,416,225,677.62/223,362.78
  6. Step 6: Final answer
    x = 176,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.