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Finding the Fourth Proportional to 105,821.54, 158,730.56 and 42,640.12

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Solution

The fourth proportional to 105,821.54, 158,730.56 and 42,640.12 is: 63,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,821.54 : 158,730.56 = 42,640.12 : x
  2. Step 2: Convert to fraction form
    105,821.54/158,730.56 = 42,640.12/x
  3. Step 3: Cross multiply
    105,821.54x = 158,730.56 × 42,640.12
  4. Step 4: Simplify right side
    105,821.54x = 6,768,290,126.07
  5. Step 5: Solve for x
    x = 6,768,290,126.07/105,821.54
  6. Step 6: Final answer
    x = 63,959.47

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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.