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Finding the Fourth Proportional to 174,113.72, 260,834.28 and 128,440.96

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Solution

The fourth proportional to 174,113.72, 260,834.28 and 128,440.96 is: 192,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,113.72 : 260,834.28 = 128,440.96 : x
  2. Step 2: Convert to fraction form
    174,113.72/260,834.28 = 128,440.96/x
  3. Step 3: Cross multiply
    174,113.72x = 260,834.28 × 128,440.96
  4. Step 4: Simplify right side
    174,113.72x = 33,501,804,190.37
  5. Step 5: Solve for x
    x = 33,501,804,190.37/174,113.72
  6. Step 6: Final answer
    x = 192,413.35

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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.