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Finding the Fourth Proportional to 77,798.11, 107,363.52 and 47,582.88

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Solution

The fourth proportional to 77,798.11, 107,363.52 and 47,582.88 is: 65,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798.11 : 107,363.52 = 47,582.88 : x
  2. Step 2: Convert to fraction form
    77,798.11/107,363.52 = 47,582.88/x
  3. Step 3: Cross multiply
    77,798.11x = 107,363.52 × 47,582.88
  4. Step 4: Simplify right side
    77,798.11x = 5,108,665,250.62
  5. Step 5: Solve for x
    x = 5,108,665,250.62/77,798.11
  6. Step 6: Final answer
    x = 65,665.67

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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.