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Finding the Fourth Proportional to 105,376.63, 157,903.35 and 71,599.63

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Solution

The fourth proportional to 105,376.63, 157,903.35 and 71,599.63 is: 107,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,376.63 : 157,903.35 = 71,599.63 : x
  2. Step 2: Convert to fraction form
    105,376.63/157,903.35 = 71,599.63/x
  3. Step 3: Cross multiply
    105,376.63x = 157,903.35 × 71,599.63
  4. Step 4: Simplify right side
    105,376.63x = 11,305,821,077.76
  5. Step 5: Solve for x
    x = 11,305,821,077.76/105,376.63
  6. Step 6: Final answer
    x = 107,289.64

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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.