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Finding the Fourth Proportional to 205,809.60, 308,757.60 and 63,643.20

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Solution

The fourth proportional to 205,809.60, 308,757.60 and 63,643.20 is: 95,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.60 : 308,757.60 = 63,643.20 : x
  2. Step 2: Convert to fraction form
    205,809.60/308,757.60 = 63,643.20/x
  3. Step 3: Cross multiply
    205,809.60x = 308,757.60 × 63,643.20
  4. Step 4: Simplify right side
    205,809.60x = 19,650,321,688.32
  5. Step 5: Solve for x
    x = 19,650,321,688.32/205,809.60
  6. Step 6: Final answer
    x = 95,478.16

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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.