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Finding the Fourth Proportional to 86,201.67, 118,955.32 and 47,435.88

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Solution

The fourth proportional to 86,201.67, 118,955.32 and 47,435.88 is: 65,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,201.67 : 118,955.32 = 47,435.88 : x
  2. Step 2: Convert to fraction form
    86,201.67/118,955.32 = 47,435.88/x
  3. Step 3: Cross multiply
    86,201.67x = 118,955.32 × 47,435.88
  4. Step 4: Simplify right side
    86,201.67x = 5,642,749,943.25
  5. Step 5: Solve for x
    x = 5,642,749,943.25/86,201.67
  6. Step 6: Final answer
    x = 65,459.87

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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.