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Finding the Fourth Proportional to 65,969.31, 91,032.21 and 38,742.51

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Solution

The fourth proportional to 65,969.31, 91,032.21 and 38,742.51 is: 53,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,969.31 : 91,032.21 = 38,742.51 : x
  2. Step 2: Convert to fraction form
    65,969.31/91,032.21 = 38,742.51/x
  3. Step 3: Cross multiply
    65,969.31x = 91,032.21 × 38,742.51
  4. Step 4: Simplify right side
    65,969.31x = 3,526,816,306.25
  5. Step 5: Solve for x
    x = 3,526,816,306.25/65,969.31
  6. Step 6: Final answer
    x = 53,461.47

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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.