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Finding the Fourth Proportional to 12,982,953.70, 19,474,430.55 and 12,430,080.10

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Solution

The fourth proportional to 12,982,953.70, 19,474,430.55 and 12,430,080.10 is: 18,645,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982,953.70 : 19,474,430.55 = 12,430,080.10 : x
  2. Step 2: Convert to fraction form
    12,982,953.70/19,474,430.55 = 12,430,080.10/x
  3. Step 3: Cross multiply
    12,982,953.70x = 19,474,430.55 × 12,430,080.10
  4. Step 4: Simplify right side
    12,982,953.70x = 242,068,731,638,387.06
  5. Step 5: Solve for x
    x = 242,068,731,638,387.06/12,982,953.70
  6. Step 6: Final answer
    x = 18,645,120.15

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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.