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Finding the Fourth Proportional to 77,263.28, 106,619.64 and 47,449.52

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Solution

The fourth proportional to 77,263.28, 106,619.64 and 47,449.52 is: 65,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263.28 : 106,619.64 = 47,449.52 : x
  2. Step 2: Convert to fraction form
    77,263.28/106,619.64 = 47,449.52/x
  3. Step 3: Cross multiply
    77,263.28x = 106,619.64 × 47,449.52
  4. Step 4: Simplify right side
    77,263.28x = 5,059,050,740.57
  5. Step 5: Solve for x
    x = 5,059,050,740.57/77,263.28
  6. Step 6: Final answer
    x = 65,478.07

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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.