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Finding the Fourth Proportional to 277,749.70, 416,624.55 and 90,780.10

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Solution

The fourth proportional to 277,749.70, 416,624.55 and 90,780.10 is: 136,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.70 : 416,624.55 = 90,780.10 : x
  2. Step 2: Convert to fraction form
    277,749.70/416,624.55 = 90,780.10/x
  3. Step 3: Cross multiply
    277,749.70x = 416,624.55 × 90,780.10
  4. Step 4: Simplify right side
    277,749.70x = 37,821,218,311.46
  5. Step 5: Solve for x
    x = 37,821,218,311.46/277,749.70
  6. Step 6: Final answer
    x = 136,170.15

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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.