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Finding the Fourth Proportional to 202,413.60, 303,814.80 and 102,686.40

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Solution

The fourth proportional to 202,413.60, 303,814.80 and 102,686.40 is: 154,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413.60 : 303,814.80 = 102,686.40 : x
  2. Step 2: Convert to fraction form
    202,413.60/303,814.80 = 102,686.40/x
  3. Step 3: Cross multiply
    202,413.60x = 303,814.80 × 102,686.40
  4. Step 4: Simplify right side
    202,413.60x = 31,197,648,078.72
  5. Step 5: Solve for x
    x = 31,197,648,078.72/202,413.60
  6. Step 6: Final answer
    x = 154,128.22

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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.