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Finding the Fourth Proportional to 77,340.64, 106,730.04 and 43,806.64

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Solution

The fourth proportional to 77,340.64, 106,730.04 and 43,806.64 is: 60,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,340.64 : 106,730.04 = 43,806.64 : x
  2. Step 2: Convert to fraction form
    77,340.64/106,730.04 = 43,806.64/x
  3. Step 3: Cross multiply
    77,340.64x = 106,730.04 × 43,806.64
  4. Step 4: Simplify right side
    77,340.64x = 4,675,484,439.47
  5. Step 5: Solve for x
    x = 4,675,484,439.47/77,340.64
  6. Step 6: Final answer
    x = 60,453.14

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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.