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Finding the Fourth Proportional to 189,897.80, 262,060.68 and 105,016.28

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Solution

The fourth proportional to 189,897.80, 262,060.68 and 105,016.28 is: 144,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897.80 : 262,060.68 = 105,016.28 : x
  2. Step 2: Convert to fraction form
    189,897.80/262,060.68 = 105,016.28/x
  3. Step 3: Cross multiply
    189,897.80x = 262,060.68 × 105,016.28
  4. Step 4: Simplify right side
    189,897.80x = 27,520,637,747.87
  5. Step 5: Solve for x
    x = 27,520,637,747.87/189,897.80
  6. Step 6: Final answer
    x = 144,923.42

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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.