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Finding the Fourth Proportional to 277,750.31, 416,647.07 and 90,780.71

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Solution

The fourth proportional to 277,750.31, 416,647.07 and 90,780.71 is: 136,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,750.31 : 416,647.07 = 90,780.71 : x
  2. Step 2: Convert to fraction form
    277,750.31/416,647.07 = 90,780.71/x
  3. Step 3: Cross multiply
    277,750.31x = 416,647.07 × 90,780.71
  4. Step 4: Simplify right side
    277,750.31x = 37,823,516,834.02
  5. Step 5: Solve for x
    x = 37,823,516,834.02/277,750.31
  6. Step 6: Final answer
    x = 136,178.13

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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.