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Finding the Fourth Proportional to 207,415, 311,122.50 and 59,671

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Solution

The fourth proportional to 207,415, 311,122.50 and 59,671 is: 89,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,415 : 311,122.50 = 59,671 : x
  2. Step 2: Convert to fraction form
    207,415/311,122.50 = 59,671/x
  3. Step 3: Cross multiply
    207,415x = 311,122.50 × 59,671
  4. Step 4: Simplify right side
    207,415x = 18,564,990,697.50
  5. Step 5: Solve for x
    x = 18,564,990,697.50/207,415
  6. Step 6: Final answer
    x = 89,506.50

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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.