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Finding the Fourth Proportional to 207,153, 310,729.50 and 51,505

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Solution

The fourth proportional to 207,153, 310,729.50 and 51,505 is: 77,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,153 : 310,729.50 = 51,505 : x
  2. Step 2: Convert to fraction form
    207,153/310,729.50 = 51,505/x
  3. Step 3: Cross multiply
    207,153x = 310,729.50 × 51,505
  4. Step 4: Simplify right side
    207,153x = 16,004,122,897.50
  5. Step 5: Solve for x
    x = 16,004,122,897.50/207,153
  6. Step 6: Final answer
    x = 77,257.50

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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.