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Finding the Fourth Proportional to 8,137,723.64, 12,199,720.40 and 6,698,478.08

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Solution

The fourth proportional to 8,137,723.64, 12,199,720.40 and 6,698,478.08 is: 10,042,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137,723.64 : 12,199,720.40 = 6,698,478.08 : x
  2. Step 2: Convert to fraction form
    8,137,723.64/12,199,720.40 = 6,698,478.08/x
  3. Step 3: Cross multiply
    8,137,723.64x = 12,199,720.40 × 6,698,478.08
  4. Step 4: Simplify right side
    8,137,723.64x = 81,719,559,637,276.42
  5. Step 5: Solve for x
    x = 81,719,559,637,276.42/8,137,723.64
  6. Step 6: Final answer
    x = 10,042,066.22

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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.