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Finding the Fourth Proportional to 116,615.18, 160,900.44 and 65,618

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Solution

The fourth proportional to 116,615.18, 160,900.44 and 65,618 is: 90,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,615.18 : 160,900.44 = 65,618 : x
  2. Step 2: Convert to fraction form
    116,615.18/160,900.44 = 65,618/x
  3. Step 3: Cross multiply
    116,615.18x = 160,900.44 × 65,618
  4. Step 4: Simplify right side
    116,615.18x = 10,557,965,071.92
  5. Step 5: Solve for x
    x = 10,557,965,071.92/116,615.18
  6. Step 6: Final answer
    x = 90,536.80

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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.