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Finding the Fourth Proportional to 223,577.84, 308,679 and 138,784.88

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Solution

The fourth proportional to 223,577.84, 308,679 and 138,784.88 is: 191,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,577.84 : 308,679 = 138,784.88 : x
  2. Step 2: Convert to fraction form
    223,577.84/308,679 = 138,784.88/x
  3. Step 3: Cross multiply
    223,577.84x = 308,679 × 138,784.88
  4. Step 4: Simplify right side
    223,577.84x = 42,839,977,973.52
  5. Step 5: Solve for x
    x = 42,839,977,973.52/223,577.84
  6. Step 6: Final answer
    x = 191,611.02

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1.5x scale

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.