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Finding the Fourth Proportional to 78,706.56, 118,059.45 and 19,542.21

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Solution

The fourth proportional to 78,706.56, 118,059.45 and 19,542.21 is: 29,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,706.56 : 118,059.45 = 19,542.21 : x
  2. Step 2: Convert to fraction form
    78,706.56/118,059.45 = 19,542.21/x
  3. Step 3: Cross multiply
    78,706.56x = 118,059.45 × 19,542.21
  4. Step 4: Simplify right side
    78,706.56x = 2,307,142,564.38
  5. Step 5: Solve for x
    x = 2,307,142,564.38/78,706.56
  6. Step 6: Final answer
    x = 29,313.22

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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.