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Finding the Fourth Proportional to 61,253, 91,879.50 and 19,700

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Solution

The fourth proportional to 61,253, 91,879.50 and 19,700 is: 29,550

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,253 : 91,879.50 = 19,700 : x
  2. Step 2: Convert to fraction form
    61,253/91,879.50 = 19,700/x
  3. Step 3: Cross multiply
    61,253x = 91,879.50 × 19,700
  4. Step 4: Simplify right side
    61,253x = 1,810,026,150
  5. Step 5: Solve for x
    x = 1,810,026,150/61,253
  6. Step 6: Final answer
    x = 29,550

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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.