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Finding the Fourth Proportional to 105,013.92, 157,474.80 and 38,436.80

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Solution

The fourth proportional to 105,013.92, 157,474.80 and 38,436.80 is: 57,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,013.92 : 157,474.80 = 38,436.80 : x
  2. Step 2: Convert to fraction form
    105,013.92/157,474.80 = 38,436.80/x
  3. Step 3: Cross multiply
    105,013.92x = 157,474.80 × 38,436.80
  4. Step 4: Simplify right side
    105,013.92x = 6,052,827,392.64
  5. Step 5: Solve for x
    x = 6,052,827,392.64/105,013.92
  6. Step 6: Final answer
    x = 57,638.33

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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.