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Finding the Fourth Proportional to 100,458.84, 150,683.82 and 30,336

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Solution

The fourth proportional to 100,458.84, 150,683.82 and 30,336 is: 45,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.84 : 150,683.82 = 30,336 : x
  2. Step 2: Convert to fraction form
    100,458.84/150,683.82 = 30,336/x
  3. Step 3: Cross multiply
    100,458.84x = 150,683.82 × 30,336
  4. Step 4: Simplify right side
    100,458.84x = 4,571,144,363.52
  5. Step 5: Solve for x
    x = 4,571,144,363.52/100,458.84
  6. Step 6: Final answer
    x = 45,502.66

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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.