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Finding the Fourth Proportional to 311,137, 466,705.50 and 89,521

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Solution

The fourth proportional to 311,137, 466,705.50 and 89,521 is: 134,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,137 : 466,705.50 = 89,521 : x
  2. Step 2: Convert to fraction form
    311,137/466,705.50 = 89,521/x
  3. Step 3: Cross multiply
    311,137x = 466,705.50 × 89,521
  4. Step 4: Simplify right side
    311,137x = 41,779,943,065.50
  5. Step 5: Solve for x
    x = 41,779,943,065.50/311,137
  6. Step 6: Final answer
    x = 134,281.50

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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.