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Finding the Fourth Proportional to 50,784,493.80, 76,176,740.70 and 43,478,164.20

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Solution

The fourth proportional to 50,784,493.80, 76,176,740.70 and 43,478,164.20 is: 65,217,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784,493.80 : 76,176,740.70 = 43,478,164.20 : x
  2. Step 2: Convert to fraction form
    50,784,493.80/76,176,740.70 = 43,478,164.20/x
  3. Step 3: Cross multiply
    50,784,493.80x = 76,176,740.70 × 43,478,164.20
  4. Step 4: Simplify right side
    50,784,493.80x = 3,312,024,840,375,423.50
  5. Step 5: Solve for x
    x = 3,312,024,840,375,423.50/50,784,493.80
  6. Step 6: Final answer
    x = 65,217,246.30

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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.