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Finding the Fourth Proportional to 65,878.38, 90,911.43 and 35,662.98

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Solution

The fourth proportional to 65,878.38, 90,911.43 and 35,662.98 is: 49,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.38 : 90,911.43 = 35,662.98 : x
  2. Step 2: Convert to fraction form
    65,878.38/90,911.43 = 35,662.98/x
  3. Step 3: Cross multiply
    65,878.38x = 90,911.43 × 35,662.98
  4. Step 4: Simplify right side
    65,878.38x = 3,242,172,509.86
  5. Step 5: Solve for x
    x = 3,242,172,509.86/65,878.38
  6. Step 6: Final answer
    x = 49,214.51

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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.