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Finding the Fourth Proportional to 85,425, 117,886.52 and 47,699.26

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Solution

The fourth proportional to 85,425, 117,886.52 and 47,699.26 is: 65,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,425 : 117,886.52 = 47,699.26 : x
  2. Step 2: Convert to fraction form
    85,425/117,886.52 = 47,699.26/x
  3. Step 3: Cross multiply
    85,425x = 117,886.52 × 47,699.26
  4. Step 4: Simplify right side
    85,425x = 5,623,099,767.98
  5. Step 5: Solve for x
    x = 5,623,099,767.98/85,425
  6. Step 6: Final answer
    x = 65,824.99

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1.5x scale

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.