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Finding the Fourth Proportional to 118,978.12, 178,483.64 and 40,114.90

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Solution

The fourth proportional to 118,978.12, 178,483.64 and 40,114.90 is: 60,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,978.12 : 178,483.64 = 40,114.90 : x
  2. Step 2: Convert to fraction form
    118,978.12/178,483.64 = 40,114.90/x
  3. Step 3: Cross multiply
    118,978.12x = 178,483.64 × 40,114.90
  4. Step 4: Simplify right side
    118,978.12x = 7,159,853,370.24
  5. Step 5: Solve for x
    x = 7,159,853,370.24/118,978.12
  6. Step 6: Final answer
    x = 60,177.90

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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.