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Finding the Fourth Proportional to 105,412.94, 158,121.71 and 42,262.80

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Solution

The fourth proportional to 105,412.94, 158,121.71 and 42,262.80 is: 63,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412.94 : 158,121.71 = 42,262.80 : x
  2. Step 2: Convert to fraction form
    105,412.94/158,121.71 = 42,262.80/x
  3. Step 3: Cross multiply
    105,412.94x = 158,121.71 × 42,262.80
  4. Step 4: Simplify right side
    105,412.94x = 6,682,666,205.39
  5. Step 5: Solve for x
    x = 6,682,666,205.39/105,412.94
  6. Step 6: Final answer
    x = 63,395.12

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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.