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Finding the Fourth Proportional to 105,838.34, 158,674.28 and 72,457.24

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Solution

The fourth proportional to 105,838.34, 158,674.28 and 72,457.24 is: 108,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,838.34 : 158,674.28 = 72,457.24 : x
  2. Step 2: Convert to fraction form
    105,838.34/158,674.28 = 72,457.24/x
  3. Step 3: Cross multiply
    105,838.34x = 158,674.28 × 72,457.24
  4. Step 4: Simplify right side
    105,838.34x = 11,497,100,387.79
  5. Step 5: Solve for x
    x = 11,497,100,387.79/105,838.34
  6. Step 6: Final answer
    x = 108,628.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.