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Finding the Fourth Proportional to 102,108, 153,203.36 and 45,908.80

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Solution

The fourth proportional to 102,108, 153,203.36 and 45,908.80 is: 68,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,108 : 153,203.36 = 45,908.80 : x
  2. Step 2: Convert to fraction form
    102,108/153,203.36 = 45,908.80/x
  3. Step 3: Cross multiply
    102,108x = 153,203.36 × 45,908.80
  4. Step 4: Simplify right side
    102,108x = 7,033,382,413.57
  5. Step 5: Solve for x
    x = 7,033,382,413.57/102,108
  6. Step 6: Final answer
    x = 68,881.80

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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.