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Finding the Fourth Proportional to 223,859.84, 308,927.32 and 121,886.16

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Solution

The fourth proportional to 223,859.84, 308,927.32 and 121,886.16 is: 168,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,859.84 : 308,927.32 = 121,886.16 : x
  2. Step 2: Convert to fraction form
    223,859.84/308,927.32 = 121,886.16/x
  3. Step 3: Cross multiply
    223,859.84x = 308,927.32 × 121,886.16
  4. Step 4: Simplify right side
    223,859.84x = 37,653,964,753.89
  5. Step 5: Solve for x
    x = 37,653,964,753.89/223,859.84
  6. Step 6: Final answer
    x = 168,203.30

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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.