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Finding the Fourth Proportional to 65,647, 90,592.86 and 37,369

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Solution

The fourth proportional to 65,647, 90,592.86 and 37,369 is: 51,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647 : 90,592.86 = 37,369 : x
  2. Step 2: Convert to fraction form
    65,647/90,592.86 = 37,369/x
  3. Step 3: Cross multiply
    65,647x = 90,592.86 × 37,369
  4. Step 4: Simplify right side
    65,647x = 3,385,364,585.34
  5. Step 5: Solve for x
    x = 3,385,364,585.34/65,647
  6. Step 6: Final answer
    x = 51,569.22

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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.