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Finding the Fourth Proportional to 72,438.10, 108,657.15 and 54,942.10

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Solution

The fourth proportional to 72,438.10, 108,657.15 and 54,942.10 is: 82,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,438.10 : 108,657.15 = 54,942.10 : x
  2. Step 2: Convert to fraction form
    72,438.10/108,657.15 = 54,942.10/x
  3. Step 3: Cross multiply
    72,438.10x = 108,657.15 × 54,942.10
  4. Step 4: Simplify right side
    72,438.10x = 5,969,852,001.02
  5. Step 5: Solve for x
    x = 5,969,852,001.02/72,438.10
  6. Step 6: Final answer
    x = 82,413.15

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1.5x scale

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.