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Finding the Fourth Proportional to 105,668.63, 145,837.62 and 65,395.36

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Solution

The fourth proportional to 105,668.63, 145,837.62 and 65,395.36 is: 90,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,668.63 : 145,837.62 = 65,395.36 : x
  2. Step 2: Convert to fraction form
    105,668.63/145,837.62 = 65,395.36/x
  3. Step 3: Cross multiply
    105,668.63x = 145,837.62 × 65,395.36
  4. Step 4: Simplify right side
    105,668.63x = 9,537,103,661.44
  5. Step 5: Solve for x
    x = 9,537,103,661.44/105,668.63
  6. Step 6: Final answer
    x = 90,254.83

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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.