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Finding the Fourth Proportional to 223,388, 308,275.44 and 122,786

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Solution

The fourth proportional to 223,388, 308,275.44 and 122,786 is: 169,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,388 : 308,275.44 = 122,786 : x
  2. Step 2: Convert to fraction form
    223,388/308,275.44 = 122,786/x
  3. Step 3: Cross multiply
    223,388x = 308,275.44 × 122,786
  4. Step 4: Simplify right side
    223,388x = 37,851,908,175.84
  5. Step 5: Solve for x
    x = 37,851,908,175.84/223,388
  6. Step 6: Final answer
    x = 169,444.68

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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.