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Finding the Fourth Proportional to 205,829.60, 308,787.60 and 63,663.20

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Solution

The fourth proportional to 205,829.60, 308,787.60 and 63,663.20 is: 95,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,829.60 : 308,787.60 = 63,663.20 : x
  2. Step 2: Convert to fraction form
    205,829.60/308,787.60 = 63,663.20/x
  3. Step 3: Cross multiply
    205,829.60x = 308,787.60 × 63,663.20
  4. Step 4: Simplify right side
    205,829.60x = 19,658,406,736.32
  5. Step 5: Solve for x
    x = 19,658,406,736.32/205,829.60
  6. Step 6: Final answer
    x = 95,508.16

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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.