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Finding the Fourth Proportional to 223,076.79, 307,813.49 and 127,565.03

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Solution

The fourth proportional to 223,076.79, 307,813.49 and 127,565.03 is: 176,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,076.79 : 307,813.49 = 127,565.03 : x
  2. Step 2: Convert to fraction form
    223,076.79/307,813.49 = 127,565.03/x
  3. Step 3: Cross multiply
    223,076.79x = 307,813.49 × 127,565.03
  4. Step 4: Simplify right side
    223,076.79x = 39,266,237,086.25
  5. Step 5: Solve for x
    x = 39,266,237,086.25/223,076.79
  6. Step 6: Final answer
    x = 176,021.17

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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.