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Finding the Fourth Proportional to 202,358, 279,234.08 and 111,708.08

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Solution

The fourth proportional to 202,358, 279,234.08 and 111,708.08 is: 154,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,358 : 279,234.08 = 111,708.08 : x
  2. Step 2: Convert to fraction form
    202,358/279,234.08 = 111,708.08/x
  3. Step 3: Cross multiply
    202,358x = 279,234.08 × 111,708.08
  4. Step 4: Simplify right side
    202,358x = 31,192,702,947.37
  5. Step 5: Solve for x
    x = 31,192,702,947.37/202,358
  6. Step 6: Final answer
    x = 154,146.13

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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.