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Finding the Fourth Proportional to 77,392.62, 106,710.64 and 71,653.82

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Solution

The fourth proportional to 77,392.62, 106,710.64 and 71,653.82 is: 98,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392.62 : 106,710.64 = 71,653.82 : x
  2. Step 2: Convert to fraction form
    77,392.62/106,710.64 = 71,653.82/x
  3. Step 3: Cross multiply
    77,392.62x = 106,710.64 × 71,653.82
  4. Step 4: Simplify right side
    77,392.62x = 7,646,224,990.64
  5. Step 5: Solve for x
    x = 7,646,224,990.64/77,392.62
  6. Step 6: Final answer
    x = 98,797.86

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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.