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Finding the Fourth Proportional to 105,035, 157,552.50 and 27,211

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Solution

The fourth proportional to 105,035, 157,552.50 and 27,211 is: 40,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,035 : 157,552.50 = 27,211 : x
  2. Step 2: Convert to fraction form
    105,035/157,552.50 = 27,211/x
  3. Step 3: Cross multiply
    105,035x = 157,552.50 × 27,211
  4. Step 4: Simplify right side
    105,035x = 4,287,161,077.50
  5. Step 5: Solve for x
    x = 4,287,161,077.50/105,035
  6. Step 6: Final answer
    x = 40,816.50

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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.