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Finding the Fourth Proportional to 20,653,431.60, 30,978,835.20 and 7,006,551.60

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Solution

The fourth proportional to 20,653,431.60, 30,978,835.20 and 7,006,551.60 is: 10,509,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653,431.60 : 30,978,835.20 = 7,006,551.60 : x
  2. Step 2: Convert to fraction form
    20,653,431.60/30,978,835.20 = 7,006,551.60/x
  3. Step 3: Cross multiply
    20,653,431.60x = 30,978,835.20 × 7,006,551.60
  4. Step 4: Simplify right side
    20,653,431.60x = 217,054,807,336,696.31
  5. Step 5: Solve for x
    x = 217,054,807,336,696.31/20,653,431.60
  6. Step 6: Final answer
    x = 10,509,382.24

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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.