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Finding the Fourth Proportional to 77,507.52, 106,963.68 and 43,976.64

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Solution

The fourth proportional to 77,507.52, 106,963.68 and 43,976.64 is: 60,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,507.52 : 106,963.68 = 43,976.64 : x
  2. Step 2: Convert to fraction form
    77,507.52/106,963.68 = 43,976.64/x
  3. Step 3: Cross multiply
    77,507.52x = 106,963.68 × 43,976.64
  4. Step 4: Simplify right side
    77,507.52x = 4,703,903,248.44
  5. Step 5: Solve for x
    x = 4,703,903,248.44/77,507.52
  6. Step 6: Final answer
    x = 60,689.64

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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.