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Finding the Fourth Proportional to 251,253, 377,052.30 and 103,509

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Solution

The fourth proportional to 251,253, 377,052.30 and 103,509 is: 155,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,253 : 377,052.30 = 103,509 : x
  2. Step 2: Convert to fraction form
    251,253/377,052.30 = 103,509/x
  3. Step 3: Cross multiply
    251,253x = 377,052.30 × 103,509
  4. Step 4: Simplify right side
    251,253x = 39,028,306,520.70
  5. Step 5: Solve for x
    x = 39,028,306,520.70/251,253
  6. Step 6: Final answer
    x = 155,334.69

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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.