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Finding the Fourth Proportional to 99,078, 136,724.04 and 56,634

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Solution

The fourth proportional to 99,078, 136,724.04 and 56,634 is: 78,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,078 : 136,724.04 = 56,634 : x
  2. Step 2: Convert to fraction form
    99,078/136,724.04 = 56,634/x
  3. Step 3: Cross multiply
    99,078x = 136,724.04 × 56,634
  4. Step 4: Simplify right side
    99,078x = 7,743,229,281.36
  5. Step 5: Solve for x
    x = 7,743,229,281.36/99,078
  6. Step 6: Final answer
    x = 78,152.86

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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.