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Finding the Fourth Proportional to 118,851.82, 178,157.74 and 74,509.72

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Solution

The fourth proportional to 118,851.82, 178,157.74 and 74,509.72 is: 111,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,851.82 : 178,157.74 = 74,509.72 : x
  2. Step 2: Convert to fraction form
    118,851.82/178,157.74 = 74,509.72/x
  3. Step 3: Cross multiply
    118,851.82x = 178,157.74 × 74,509.72
  4. Step 4: Simplify right side
    118,851.82x = 13,274,483,323.23
  5. Step 5: Solve for x
    x = 13,274,483,323.23/118,851.82
  6. Step 6: Final answer
    x = 111,689.36

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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.