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Finding the Fourth Proportional to 189,807.12, 261,945.12 and 104,922.24

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Solution

The fourth proportional to 189,807.12, 261,945.12 and 104,922.24 is: 144,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,807.12 : 261,945.12 = 104,922.24 : x
  2. Step 2: Convert to fraction form
    189,807.12/261,945.12 = 104,922.24/x
  3. Step 3: Cross multiply
    189,807.12x = 261,945.12 × 104,922.24
  4. Step 4: Simplify right side
    189,807.12x = 27,483,868,747.47
  5. Step 5: Solve for x
    x = 27,483,868,747.47/189,807.12
  6. Step 6: Final answer
    x = 144,798.93

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1.5x scale

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.