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Finding the Fourth Proportional to 52,657.50, 78,999.93 and 15,721.50

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Solution

The fourth proportional to 52,657.50, 78,999.93 and 15,721.50 is: 23,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,657.50 : 78,999.93 = 15,721.50 : x
  2. Step 2: Convert to fraction form
    52,657.50/78,999.93 = 15,721.50/x
  3. Step 3: Cross multiply
    52,657.50x = 78,999.93 × 15,721.50
  4. Step 4: Simplify right side
    52,657.50x = 1,241,997,399.50
  5. Step 5: Solve for x
    x = 1,241,997,399.50/52,657.50
  6. Step 6: Final answer
    x = 23,586.33

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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.