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Finding the Fourth Proportional to 205,382, 283,427.16 and 111,174

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Solution

The fourth proportional to 205,382, 283,427.16 and 111,174 is: 153,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,382 : 283,427.16 = 111,174 : x
  2. Step 2: Convert to fraction form
    205,382/283,427.16 = 111,174/x
  3. Step 3: Cross multiply
    205,382x = 283,427.16 × 111,174
  4. Step 4: Simplify right side
    205,382x = 31,509,731,085.84
  5. Step 5: Solve for x
    x = 31,509,731,085.84/205,382
  6. Step 6: Final answer
    x = 153,420.12

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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.