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Finding the Fourth Proportional to 71,882,709.60, 107,824,064.40 and 49,207,893.60

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Solution

The fourth proportional to 71,882,709.60, 107,824,064.40 and 49,207,893.60 is: 73,811,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,882,709.60 : 107,824,064.40 = 49,207,893.60 : x
  2. Step 2: Convert to fraction form
    71,882,709.60/107,824,064.40 = 49,207,893.60/x
  3. Step 3: Cross multiply
    71,882,709.60x = 107,824,064.40 × 49,207,893.60
  4. Step 4: Simplify right side
    71,882,709.60x = 5,305,795,088,514,748
  5. Step 5: Solve for x
    x = 5,305,795,088,514,748/71,882,709.60
  6. Step 6: Final answer
    x = 73,811,840.40

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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.