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Finding the Fourth Proportional to 223,407.72, 308,316.78 and 127,945.98

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Solution

The fourth proportional to 223,407.72, 308,316.78 and 127,945.98 is: 176,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,407.72 : 308,316.78 = 127,945.98 : x
  2. Step 2: Convert to fraction form
    223,407.72/308,316.78 = 127,945.98/x
  3. Step 3: Cross multiply
    223,407.72x = 308,316.78 × 127,945.98
  4. Step 4: Simplify right side
    223,407.72x = 39,447,892,567.54
  5. Step 5: Solve for x
    x = 39,447,892,567.54/223,407.72
  6. Step 6: Final answer
    x = 176,573.54

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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.