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Finding the Fourth Proportional to 205,052.40, 307,734.12 and 138,334.32

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Solution

The fourth proportional to 205,052.40, 307,734.12 and 138,334.32 is: 207,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,052.40 : 307,734.12 = 138,334.32 : x
  2. Step 2: Convert to fraction form
    205,052.40/307,734.12 = 138,334.32/x
  3. Step 3: Cross multiply
    205,052.40x = 307,734.12 × 138,334.32
  4. Step 4: Simplify right side
    205,052.40x = 42,570,190,231.00
  5. Step 5: Solve for x
    x = 42,570,190,231.00/205,052.40
  6. Step 6: Final answer
    x = 207,606.40

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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.