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Finding the Fourth Proportional to 105,292.80, 157,893.12 and 31,403.52

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Solution

The fourth proportional to 105,292.80, 157,893.12 and 31,403.52 is: 47,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,292.80 : 157,893.12 = 31,403.52 : x
  2. Step 2: Convert to fraction form
    105,292.80/157,893.12 = 31,403.52/x
  3. Step 3: Cross multiply
    105,292.80x = 157,893.12 × 31,403.52
  4. Step 4: Simplify right side
    105,292.80x = 4,958,399,751.78
  5. Step 5: Solve for x
    x = 4,958,399,751.78/105,292.80
  6. Step 6: Final answer
    x = 47,091.54

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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.