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Finding the Fourth Proportional to 223,807.55, 308,860.16 and 137,734.52

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Solution

The fourth proportional to 223,807.55, 308,860.16 and 137,734.52 is: 190,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,807.55 : 308,860.16 = 137,734.52 : x
  2. Step 2: Convert to fraction form
    223,807.55/308,860.16 = 137,734.52/x
  3. Step 3: Cross multiply
    223,807.55x = 308,860.16 × 137,734.52
  4. Step 4: Simplify right side
    223,807.55x = 42,540,703,651.75
  5. Step 5: Solve for x
    x = 42,540,703,651.75/223,807.55
  6. Step 6: Final answer
    x = 190,077.16

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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.