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Finding the Fourth Proportional to 105,086.60, 157,629.90 and 31,214.60

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Solution

The fourth proportional to 105,086.60, 157,629.90 and 31,214.60 is: 46,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,086.60 : 157,629.90 = 31,214.60 : x
  2. Step 2: Convert to fraction form
    105,086.60/157,629.90 = 31,214.60/x
  3. Step 3: Cross multiply
    105,086.60x = 157,629.90 × 31,214.60
  4. Step 4: Simplify right side
    105,086.60x = 4,920,354,276.54
  5. Step 5: Solve for x
    x = 4,920,354,276.54/105,086.60
  6. Step 6: Final answer
    x = 46,821.90

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1.5x scale

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.