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Finding the Fourth Proportional to 213,855.30, 295,100.32 and 127,797.21

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Solution

The fourth proportional to 213,855.30, 295,100.32 and 127,797.21 is: 176,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,855.30 : 295,100.32 = 127,797.21 : x
  2. Step 2: Convert to fraction form
    213,855.30/295,100.32 = 127,797.21/x
  3. Step 3: Cross multiply
    213,855.30x = 295,100.32 × 127,797.21
  4. Step 4: Simplify right side
    213,855.30x = 37,712,996,139.99
  5. Step 5: Solve for x
    x = 37,712,996,139.99/213,855.30
  6. Step 6: Final answer
    x = 176,348.19

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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.