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Finding the Fourth Proportional to 277,730, 416,666.04 and 80,738

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Solution

The fourth proportional to 277,730, 416,666.04 and 80,738 is: 121,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,730 : 416,666.04 = 80,738 : x
  2. Step 2: Convert to fraction form
    277,730/416,666.04 = 80,738/x
  3. Step 3: Cross multiply
    277,730x = 416,666.04 × 80,738
  4. Step 4: Simplify right side
    277,730x = 33,640,782,737.52
  5. Step 5: Solve for x
    x = 33,640,782,737.52/277,730
  6. Step 6: Final answer
    x = 121,127.65

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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.