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Finding the Fourth Proportional to 136,807.48, 188,797.50 and 85,822.36

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Solution

The fourth proportional to 136,807.48, 188,797.50 and 85,822.36 is: 118,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,807.48 : 188,797.50 = 85,822.36 : x
  2. Step 2: Convert to fraction form
    136,807.48/188,797.50 = 85,822.36/x
  3. Step 3: Cross multiply
    136,807.48x = 188,797.50 × 85,822.36
  4. Step 4: Simplify right side
    136,807.48x = 16,203,047,012.10
  5. Step 5: Solve for x
    x = 16,203,047,012.10/136,807.48
  6. Step 6: Final answer
    x = 118,436.85

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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.