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Finding the Fourth Proportional to 12,978,654.52, 19,470,081.30 and 5,406,385.72

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Solution

The fourth proportional to 12,978,654.52, 19,470,081.30 and 5,406,385.72 is: 8,110,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978,654.52 : 19,470,081.30 = 5,406,385.72 : x
  2. Step 2: Convert to fraction form
    12,978,654.52/19,470,081.30 = 5,406,385.72/x
  3. Step 3: Cross multiply
    12,978,654.52x = 19,470,081.30 × 5,406,385.72
  4. Step 4: Simplify right side
    12,978,654.52x = 105,262,769,507,559.03
  5. Step 5: Solve for x
    x = 105,262,769,507,559.03/12,978,654.52
  6. Step 6: Final answer
    x = 8,110,453.16

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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.