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Finding the Fourth Proportional to 128,413.80, 192,491.10 and 58,343.40

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Solution

The fourth proportional to 128,413.80, 192,491.10 and 58,343.40 is: 87,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.80 : 192,491.10 = 58,343.40 : x
  2. Step 2: Convert to fraction form
    128,413.80/192,491.10 = 58,343.40/x
  3. Step 3: Cross multiply
    128,413.80x = 192,491.10 × 58,343.40
  4. Step 4: Simplify right side
    128,413.80x = 11,230,585,243.74
  5. Step 5: Solve for x
    x = 11,230,585,243.74/128,413.80
  6. Step 6: Final answer
    x = 87,456.22

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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.