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Finding the Fourth Proportional to 223,281.22, 308,051.86 and 138,367.30

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Solution

The fourth proportional to 223,281.22, 308,051.86 and 138,367.30 is: 190,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,281.22 : 308,051.86 = 138,367.30 : x
  2. Step 2: Convert to fraction form
    223,281.22/308,051.86 = 138,367.30/x
  3. Step 3: Cross multiply
    223,281.22x = 308,051.86 × 138,367.30
  4. Step 4: Simplify right side
    223,281.22x = 42,624,304,128.18
  5. Step 5: Solve for x
    x = 42,624,304,128.18/223,281.22
  6. Step 6: Final answer
    x = 190,899.64

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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.