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Finding the Fourth Proportional to 205,642.60, 308,349.28 and 63,447.50

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Solution

The fourth proportional to 205,642.60, 308,349.28 and 63,447.50 is: 95,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,642.60 : 308,349.28 = 63,447.50 : x
  2. Step 2: Convert to fraction form
    205,642.60/308,349.28 = 63,447.50/x
  3. Step 3: Cross multiply
    205,642.60x = 308,349.28 × 63,447.50
  4. Step 4: Simplify right side
    205,642.60x = 19,563,991,792.98
  5. Step 5: Solve for x
    x = 19,563,991,792.98/205,642.60
  6. Step 6: Final answer
    x = 95,135.89

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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.