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Finding the Fourth Proportional to 13,978,397.09, 20,960,580.51 and 8,144,468.16

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Solution

The fourth proportional to 13,978,397.09, 20,960,580.51 and 8,144,468.16 is: 12,212,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978,397.09 : 20,960,580.51 = 8,144,468.16 : x
  2. Step 2: Convert to fraction form
    13,978,397.09/20,960,580.51 = 8,144,468.16/x
  3. Step 3: Cross multiply
    13,978,397.09x = 20,960,580.51 × 8,144,468.16
  4. Step 4: Simplify right side
    13,978,397.09x = 170,712,780,578,811.56
  5. Step 5: Solve for x
    x = 170,712,780,578,811.56/13,978,397.09
  6. Step 6: Final answer
    x = 12,212,614.90

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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.