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Finding the Fourth Proportional to 329,746.84, 494,685.90 and 105,100

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Solution

The fourth proportional to 329,746.84, 494,685.90 and 105,100 is: 157,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,746.84 : 494,685.90 = 105,100 : x
  2. Step 2: Convert to fraction form
    329,746.84/494,685.90 = 105,100/x
  3. Step 3: Cross multiply
    329,746.84x = 494,685.90 × 105,100
  4. Step 4: Simplify right side
    329,746.84x = 51,991,488,090
  5. Step 5: Solve for x
    x = 51,991,488,090/329,746.84
  6. Step 6: Final answer
    x = 157,670.92

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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.