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Finding the Fourth Proportional to 65,273, 90,076.74 and 38,777

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Solution

The fourth proportional to 65,273, 90,076.74 and 38,777 is: 53,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273 : 90,076.74 = 38,777 : x
  2. Step 2: Convert to fraction form
    65,273/90,076.74 = 38,777/x
  3. Step 3: Cross multiply
    65,273x = 90,076.74 × 38,777
  4. Step 4: Simplify right side
    65,273x = 3,492,905,746.98
  5. Step 5: Solve for x
    x = 3,492,905,746.98/65,273
  6. Step 6: Final answer
    x = 53,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.