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Finding the Fourth Proportional to 311,730, 467,672.76 and 90,114

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Solution

The fourth proportional to 311,730, 467,672.76 and 90,114 is: 135,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,730 : 467,672.76 = 90,114 : x
  2. Step 2: Convert to fraction form
    311,730/467,672.76 = 90,114/x
  3. Step 3: Cross multiply
    311,730x = 467,672.76 × 90,114
  4. Step 4: Simplify right side
    311,730x = 42,143,863,094.64
  5. Step 5: Solve for x
    x = 42,143,863,094.64/311,730
  6. Step 6: Final answer
    x = 135,193.48

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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.