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Finding the Fourth Proportional to 85,846.39, 128,805.02 and 46,357

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Solution

The fourth proportional to 85,846.39, 128,805.02 and 46,357 is: 69,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.39 : 128,805.02 = 46,357 : x
  2. Step 2: Convert to fraction form
    85,846.39/128,805.02 = 46,357/x
  3. Step 3: Cross multiply
    85,846.39x = 128,805.02 × 46,357
  4. Step 4: Simplify right side
    85,846.39x = 5,971,014,080.36
  5. Step 5: Solve for x
    x = 5,971,014,080.36/85,846.39
  6. Step 6: Final answer
    x = 69,554.63

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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.