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Finding the Fourth Proportional to 128,413.95, 177,207.83 and 71,051.77

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Solution

The fourth proportional to 128,413.95, 177,207.83 and 71,051.77 is: 98,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.95 : 177,207.83 = 71,051.77 : x
  2. Step 2: Convert to fraction form
    128,413.95/177,207.83 = 71,051.77/x
  3. Step 3: Cross multiply
    128,413.95x = 177,207.83 × 71,051.77
  4. Step 4: Simplify right side
    128,413.95x = 12,590,929,979.36
  5. Step 5: Solve for x
    x = 12,590,929,979.36/128,413.95
  6. Step 6: Final answer
    x = 98,049.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.