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Finding the Fourth Proportional to 231,852.63, 319,959.95 and 135,054

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Solution

The fourth proportional to 231,852.63, 319,959.95 and 135,054 is: 186,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,852.63 : 319,959.95 = 135,054 : x
  2. Step 2: Convert to fraction form
    231,852.63/319,959.95 = 135,054/x
  3. Step 3: Cross multiply
    231,852.63x = 319,959.95 × 135,054
  4. Step 4: Simplify right side
    231,852.63x = 43,211,870,412.03
  5. Step 5: Solve for x
    x = 43,211,870,412.03/231,852.63
  6. Step 6: Final answer
    x = 186,376.45

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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.