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Finding the Fourth Proportional to 252,697.76, 348,720.25 and 137,976.04

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Solution

The fourth proportional to 252,697.76, 348,720.25 and 137,976.04 is: 190,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,697.76 : 348,720.25 = 137,976.04 : x
  2. Step 2: Convert to fraction form
    252,697.76/348,720.25 = 137,976.04/x
  3. Step 3: Cross multiply
    252,697.76x = 348,720.25 × 137,976.04
  4. Step 4: Simplify right side
    252,697.76x = 48,115,039,162.81
  5. Step 5: Solve for x
    x = 48,115,039,162.81/252,697.76
  6. Step 6: Final answer
    x = 190,405.48

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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.