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Finding the Fourth Proportional to 123,533.80, 185,300.70 and 114,785.80

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Solution

The fourth proportional to 123,533.80, 185,300.70 and 114,785.80 is: 172,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.80 : 185,300.70 = 114,785.80 : x
  2. Step 2: Convert to fraction form
    123,533.80/185,300.70 = 114,785.80/x
  3. Step 3: Cross multiply
    123,533.80x = 185,300.70 × 114,785.80
  4. Step 4: Simplify right side
    123,533.80x = 21,269,889,090.06
  5. Step 5: Solve for x
    x = 21,269,889,090.06/123,533.80
  6. Step 6: Final answer
    x = 172,178.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.