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Finding the Fourth Proportional to 77,496, 106,963.92 and 45,653.28

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Solution

The fourth proportional to 77,496, 106,963.92 and 45,653.28 is: 63,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,496 : 106,963.92 = 45,653.28 : x
  2. Step 2: Convert to fraction form
    77,496/106,963.92 = 45,653.28/x
  3. Step 3: Cross multiply
    77,496x = 106,963.92 × 45,653.28
  4. Step 4: Simplify right side
    77,496x = 4,883,253,789.66
  5. Step 5: Solve for x
    x = 4,883,253,789.66/77,496
  6. Step 6: Final answer
    x = 63,012.98

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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.