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Finding the Fourth Proportional to 118,849.82, 178,154.74 and 74,507.72

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Solution

The fourth proportional to 118,849.82, 178,154.74 and 74,507.72 is: 111,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,849.82 : 178,154.74 = 74,507.72 : x
  2. Step 2: Convert to fraction form
    118,849.82/178,154.74 = 74,507.72/x
  3. Step 3: Cross multiply
    118,849.82x = 178,154.74 × 74,507.72
  4. Step 4: Simplify right side
    118,849.82x = 13,273,902,686.95
  5. Step 5: Solve for x
    x = 13,273,902,686.95/118,849.82
  6. Step 6: Final answer
    x = 111,686.36

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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.