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Finding the Fourth Proportional to 71,540.81, 98,752.83 and 61,428.64

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Solution

The fourth proportional to 71,540.81, 98,752.83 and 61,428.64 is: 84,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540.81 : 98,752.83 = 61,428.64 : x
  2. Step 2: Convert to fraction form
    71,540.81/98,752.83 = 61,428.64/x
  3. Step 3: Cross multiply
    71,540.81x = 98,752.83 × 61,428.64
  4. Step 4: Simplify right side
    71,540.81x = 6,066,251,796.17
  5. Step 5: Solve for x
    x = 6,066,251,796.17/71,540.81
  6. Step 6: Final answer
    x = 84,794.28

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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.