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Finding the Fourth Proportional to 202,894.40, 304,268.70 and 103,021.40

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Solution

The fourth proportional to 202,894.40, 304,268.70 and 103,021.40 is: 154,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,894.40 : 304,268.70 = 103,021.40 : x
  2. Step 2: Convert to fraction form
    202,894.40/304,268.70 = 103,021.40/x
  3. Step 3: Cross multiply
    202,894.40x = 304,268.70 × 103,021.40
  4. Step 4: Simplify right side
    202,894.40x = 31,346,187,450.18
  5. Step 5: Solve for x
    x = 31,346,187,450.18/202,894.40
  6. Step 6: Final answer
    x = 154,495.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.