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Finding the Fourth Proportional to 183,220.98, 274,982.19 and 78,158.58

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Solution

The fourth proportional to 183,220.98, 274,982.19 and 78,158.58 is: 117,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,220.98 : 274,982.19 = 78,158.58 : x
  2. Step 2: Convert to fraction form
    183,220.98/274,982.19 = 78,158.58/x
  3. Step 3: Cross multiply
    183,220.98x = 274,982.19 × 78,158.58
  4. Step 4: Simplify right side
    183,220.98x = 21,492,217,495.69
  5. Step 5: Solve for x
    x = 21,492,217,495.69/183,220.98
  6. Step 6: Final answer
    x = 117,302.16

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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.