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Finding the Fourth Proportional to 80,313,748.50, 110,842,420.86 and 47,718,700.50

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Solution

The fourth proportional to 80,313,748.50, 110,842,420.86 and 47,718,700.50 is: 65,857,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,313,748.50 : 110,842,420.86 = 47,718,700.50 : x
  2. Step 2: Convert to fraction form
    80,313,748.50/110,842,420.86 = 47,718,700.50/x
  3. Step 3: Cross multiply
    80,313,748.50x = 110,842,420.86 × 47,718,700.50
  4. Step 4: Simplify right side
    80,313,748.50x = 5,289,256,283,713,292
  5. Step 5: Solve for x
    x = 5,289,256,283,713,292/80,313,748.50
  6. Step 6: Final answer
    x = 65,857,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.