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Finding the Fourth Proportional to 105,393.23, 145,446.11 and 57,646.58

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Solution

The fourth proportional to 105,393.23, 145,446.11 and 57,646.58 is: 79,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,393.23 : 145,446.11 = 57,646.58 : x
  2. Step 2: Convert to fraction form
    105,393.23/145,446.11 = 57,646.58/x
  3. Step 3: Cross multiply
    105,393.23x = 145,446.11 × 57,646.58
  4. Step 4: Simplify right side
    105,393.23x = 8,384,469,800.34
  5. Step 5: Solve for x
    x = 8,384,469,800.34/105,393.23
  6. Step 6: Final answer
    x = 79,554.16

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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.