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Finding the Fourth Proportional to 321,823.78, 482,802.06 and 105,698.81

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Solution

The fourth proportional to 321,823.78, 482,802.06 and 105,698.81 is: 158,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,823.78 : 482,802.06 = 105,698.81 : x
  2. Step 2: Convert to fraction form
    321,823.78/482,802.06 = 105,698.81/x
  3. Step 3: Cross multiply
    321,823.78x = 482,802.06 × 105,698.81
  4. Step 4: Simplify right side
    321,823.78x = 51,031,603,207.55
  5. Step 5: Solve for x
    x = 51,031,603,207.55/321,823.78
  6. Step 6: Final answer
    x = 158,570.02

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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.