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Finding the Fourth Proportional to 105,743.70, 145,876.01 and 63,294.03

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Solution

The fourth proportional to 105,743.70, 145,876.01 and 63,294.03 is: 87,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,743.70 : 145,876.01 = 63,294.03 : x
  2. Step 2: Convert to fraction form
    105,743.70/145,876.01 = 63,294.03/x
  3. Step 3: Cross multiply
    105,743.70x = 145,876.01 × 63,294.03
  4. Step 4: Simplify right side
    105,743.70x = 9,233,080,236.75
  5. Step 5: Solve for x
    x = 9,233,080,236.75/105,743.70
  6. Step 6: Final answer
    x = 87,315.65

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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.