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Finding the Fourth Proportional to 118,783.29, 178,207.74 and 105,726.90

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Solution

The fourth proportional to 118,783.29, 178,207.74 and 105,726.90 is: 158,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,783.29 : 178,207.74 = 105,726.90 : x
  2. Step 2: Convert to fraction form
    118,783.29/178,207.74 = 105,726.90/x
  3. Step 3: Cross multiply
    118,783.29x = 178,207.74 × 105,726.90
  4. Step 4: Simplify right side
    118,783.29x = 18,841,351,906.21
  5. Step 5: Solve for x
    x = 18,841,351,906.21/118,783.29
  6. Step 6: Final answer
    x = 158,619.55

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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.