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Finding the Fourth Proportional to 78,072, 117,107.78 and 60,328.48

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Solution

The fourth proportional to 78,072, 117,107.78 and 60,328.48 is: 90,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072 : 117,107.78 = 60,328.48 : x
  2. Step 2: Convert to fraction form
    78,072/117,107.78 = 60,328.48/x
  3. Step 3: Cross multiply
    78,072x = 117,107.78 × 60,328.48
  4. Step 4: Simplify right side
    78,072x = 7,064,934,363.57
  5. Step 5: Solve for x
    x = 7,064,934,363.57/78,072
  6. Step 6: Final answer
    x = 90,492.55

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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.