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Finding the Fourth Proportional to 122,909.40, 184,145.40 and 105,413.40

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Solution

The fourth proportional to 122,909.40, 184,145.40 and 105,413.40 is: 157,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,909.40 : 184,145.40 = 105,413.40 : x
  2. Step 2: Convert to fraction form
    122,909.40/184,145.40 = 105,413.40/x
  3. Step 3: Cross multiply
    122,909.40x = 184,145.40 × 105,413.40
  4. Step 4: Simplify right side
    122,909.40x = 19,411,392,708.36
  5. Step 5: Solve for x
    x = 19,411,392,708.36/122,909.40
  6. Step 6: Final answer
    x = 157,932.53

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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.