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Finding the Fourth Proportional to 321,792.72, 482,767.14 and 97,139.73

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Solution

The fourth proportional to 321,792.72, 482,767.14 and 97,139.73 is: 145,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,792.72 : 482,767.14 = 97,139.73 : x
  2. Step 2: Convert to fraction form
    321,792.72/482,767.14 = 97,139.73/x
  3. Step 3: Cross multiply
    321,792.72x = 482,767.14 × 97,139.73
  4. Step 4: Simplify right side
    321,792.72x = 46,895,869,632.47
  5. Step 5: Solve for x
    x = 46,895,869,632.47/321,792.72
  6. Step 6: Final answer
    x = 145,733.16

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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.