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Finding the Fourth Proportional to 83,289.84, 124,827.48 and 30,636.96

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Solution

The fourth proportional to 83,289.84, 124,827.48 and 30,636.96 is: 45,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,289.84 : 124,827.48 = 30,636.96 : x
  2. Step 2: Convert to fraction form
    83,289.84/124,827.48 = 30,636.96/x
  3. Step 3: Cross multiply
    83,289.84x = 124,827.48 × 30,636.96
  4. Step 4: Simplify right side
    83,289.84x = 3,824,334,511.66
  5. Step 5: Solve for x
    x = 3,824,334,511.66/83,289.84
  6. Step 6: Final answer
    x = 45,915.98

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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.