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Finding the Fourth Proportional to 118,874.22, 178,312.03 and 30,127.98

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Solution

The fourth proportional to 118,874.22, 178,312.03 and 30,127.98 is: 45,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,874.22 : 178,312.03 = 30,127.98 : x
  2. Step 2: Convert to fraction form
    118,874.22/178,312.03 = 30,127.98/x
  3. Step 3: Cross multiply
    118,874.22x = 178,312.03 × 30,127.98
  4. Step 4: Simplify right side
    118,874.22x = 5,372,181,979.93
  5. Step 5: Solve for x
    x = 5,372,181,979.93/118,874.22
  6. Step 6: Final answer
    x = 45,192.15

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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.