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Finding the Fourth Proportional to 65,821.29, 90,807.54 and 38,954.01

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Solution

The fourth proportional to 65,821.29, 90,807.54 and 38,954.01 is: 53,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.29 : 90,807.54 = 38,954.01 : x
  2. Step 2: Convert to fraction form
    65,821.29/90,807.54 = 38,954.01/x
  3. Step 3: Cross multiply
    65,821.29x = 90,807.54 × 38,954.01
  4. Step 4: Simplify right side
    65,821.29x = 3,537,317,821.24
  5. Step 5: Solve for x
    x = 3,537,317,821.24/65,821.29
  6. Step 6: Final answer
    x = 53,741.24

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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.