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Finding the Fourth Proportional to 65,336, 90,164.32 and 35,528.64

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Solution

The fourth proportional to 65,336, 90,164.32 and 35,528.64 is: 49,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,336 : 90,164.32 = 35,528.64 : x
  2. Step 2: Convert to fraction form
    65,336/90,164.32 = 35,528.64/x
  3. Step 3: Cross multiply
    65,336x = 90,164.32 × 35,528.64
  4. Step 4: Simplify right side
    65,336x = 3,203,415,666.12
  5. Step 5: Solve for x
    x = 3,203,415,666.12/65,336
  6. Step 6: Final answer
    x = 49,029.87

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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.