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Finding the Fourth Proportional to 105,055.92, 157,569.03 and 30,182.49

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Solution

The fourth proportional to 105,055.92, 157,569.03 and 30,182.49 is: 45,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,055.92 : 157,569.03 = 30,182.49 : x
  2. Step 2: Convert to fraction form
    105,055.92/157,569.03 = 30,182.49/x
  3. Step 3: Cross multiply
    105,055.92x = 157,569.03 × 30,182.49
  4. Step 4: Simplify right side
    105,055.92x = 4,755,825,672.28
  5. Step 5: Solve for x
    x = 4,755,825,672.28/105,055.92
  6. Step 6: Final answer
    x = 45,269.47

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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.