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Finding the Fourth Proportional to 223,330.80, 308,186.32 and 138,455.76

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Solution

The fourth proportional to 223,330.80, 308,186.32 and 138,455.76 is: 191,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,330.80 : 308,186.32 = 138,455.76 : x
  2. Step 2: Convert to fraction form
    223,330.80/308,186.32 = 138,455.76/x
  3. Step 3: Cross multiply
    223,330.80x = 308,186.32 × 138,455.76
  4. Step 4: Simplify right side
    223,330.80x = 42,670,171,157.20
  5. Step 5: Solve for x
    x = 42,670,171,157.20/223,330.80
  6. Step 6: Final answer
    x = 191,062.64

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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.