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Finding the Fourth Proportional to 118,765.76, 178,154.74 and 30,020.02

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Solution

The fourth proportional to 118,765.76, 178,154.74 and 30,020.02 is: 45,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,765.76 : 178,154.74 = 30,020.02 : x
  2. Step 2: Convert to fraction form
    118,765.76/178,154.74 = 30,020.02/x
  3. Step 3: Cross multiply
    118,765.76x = 178,154.74 × 30,020.02
  4. Step 4: Simplify right side
    118,765.76x = 5,348,208,857.89
  5. Step 5: Solve for x
    x = 5,348,208,857.89/118,765.76
  6. Step 6: Final answer
    x = 45,031.57

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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.