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Finding the Fourth Proportional to 105,669.56, 145,838.91 and 65,396.30

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Solution

The fourth proportional to 105,669.56, 145,838.91 and 65,396.30 is: 90,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,669.56 : 145,838.91 = 65,396.30 : x
  2. Step 2: Convert to fraction form
    105,669.56/145,838.91 = 65,396.30/x
  3. Step 3: Cross multiply
    105,669.56x = 145,838.91 × 65,396.30
  4. Step 4: Simplify right side
    105,669.56x = 9,537,324,626.07
  5. Step 5: Solve for x
    x = 9,537,324,626.07/105,669.56
  6. Step 6: Final answer
    x = 90,256.12

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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.