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Finding the Fourth Proportional to 20,596,647.60, 30,894,971.40 and 8,462,078.10

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Solution

The fourth proportional to 20,596,647.60, 30,894,971.40 and 8,462,078.10 is: 12,693,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596,647.60 : 30,894,971.40 = 8,462,078.10 : x
  2. Step 2: Convert to fraction form
    20,596,647.60/30,894,971.40 = 8,462,078.10/x
  3. Step 3: Cross multiply
    20,596,647.60x = 30,894,971.40 × 8,462,078.10
  4. Step 4: Simplify right side
    20,596,647.60x = 261,435,660,884,066.31
  5. Step 5: Solve for x
    x = 261,435,660,884,066.31/20,596,647.60
  6. Step 6: Final answer
    x = 12,693,117.15

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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.