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Finding the Fourth Proportional to 192,780.32, 266,036.81 and 107,897.38

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Solution

The fourth proportional to 192,780.32, 266,036.81 and 107,897.38 is: 148,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,780.32 : 266,036.81 = 107,897.38 : x
  2. Step 2: Convert to fraction form
    192,780.32/266,036.81 = 107,897.38/x
  3. Step 3: Cross multiply
    192,780.32x = 266,036.81 × 107,897.38
  4. Step 4: Simplify right side
    192,780.32x = 28,704,674,782.56
  5. Step 5: Solve for x
    x = 28,704,674,782.56/192,780.32
  6. Step 6: Final answer
    x = 148,898.37

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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.