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Finding the Fourth Proportional to 99,171, 148,756.50 and 25,299

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Solution

The fourth proportional to 99,171, 148,756.50 and 25,299 is: 37,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,171 : 148,756.50 = 25,299 : x
  2. Step 2: Convert to fraction form
    99,171/148,756.50 = 25,299/x
  3. Step 3: Cross multiply
    99,171x = 148,756.50 × 25,299
  4. Step 4: Simplify right side
    99,171x = 3,763,390,693.50
  5. Step 5: Solve for x
    x = 3,763,390,693.50/99,171
  6. Step 6: Final answer
    x = 37,948.50

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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.