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Finding the Fourth Proportional to 205,617.64, 308,428.64 and 72,473.08

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Solution

The fourth proportional to 205,617.64, 308,428.64 and 72,473.08 is: 108,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,617.64 : 308,428.64 = 72,473.08 : x
  2. Step 2: Convert to fraction form
    205,617.64/308,428.64 = 72,473.08/x
  3. Step 3: Cross multiply
    205,617.64x = 308,428.64 × 72,473.08
  4. Step 4: Simplify right side
    205,617.64x = 22,352,773,501.01
  5. Step 5: Solve for x
    x = 22,352,773,501.01/205,617.64
  6. Step 6: Final answer
    x = 108,710.39

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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.