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Finding the Fourth Proportional to 118,783.64, 178,004.94 and 71,418.08

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Solution

The fourth proportional to 118,783.64, 178,004.94 and 71,418.08 is: 107,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,783.64 : 178,004.94 = 71,418.08 : x
  2. Step 2: Convert to fraction form
    118,783.64/178,004.94 = 71,418.08/x
  3. Step 3: Cross multiply
    118,783.64x = 178,004.94 × 71,418.08
  4. Step 4: Simplify right side
    118,783.64x = 12,712,770,155.29
  5. Step 5: Solve for x
    x = 12,712,770,155.29/118,783.64
  6. Step 6: Final answer
    x = 107,024.59

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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.