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Finding the Fourth Proportional to 73,770, 101,802.60 and 40,236

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Solution

The fourth proportional to 73,770, 101,802.60 and 40,236 is: 55,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,770 : 101,802.60 = 40,236 : x
  2. Step 2: Convert to fraction form
    73,770/101,802.60 = 40,236/x
  3. Step 3: Cross multiply
    73,770x = 101,802.60 × 40,236
  4. Step 4: Simplify right side
    73,770x = 4,096,129,413.60
  5. Step 5: Solve for x
    x = 4,096,129,413.60/73,770
  6. Step 6: Final answer
    x = 55,525.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.