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Finding the Fourth Proportional to 65,119.74, 89,862.36 and 38,265

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Solution

The fourth proportional to 65,119.74, 89,862.36 and 38,265 is: 52,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,119.74 : 89,862.36 = 38,265 : x
  2. Step 2: Convert to fraction form
    65,119.74/89,862.36 = 38,265/x
  3. Step 3: Cross multiply
    65,119.74x = 89,862.36 × 38,265
  4. Step 4: Simplify right side
    65,119.74x = 3,438,583,205.40
  5. Step 5: Solve for x
    x = 3,438,583,205.40/65,119.74
  6. Step 6: Final answer
    x = 52,804.01

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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.