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Finding the Fourth Proportional to 189,438, 261,423.12 and 104,555.04

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Solution

The fourth proportional to 189,438, 261,423.12 and 104,555.04 is: 144,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,438 : 261,423.12 = 104,555.04 : x
  2. Step 2: Convert to fraction form
    189,438/261,423.12 = 104,555.04/x
  3. Step 3: Cross multiply
    189,438x = 261,423.12 × 104,555.04
  4. Step 4: Simplify right side
    189,438x = 27,333,104,768.52
  5. Step 5: Solve for x
    x = 27,333,104,768.52/189,438
  6. Step 6: Final answer
    x = 144,285.23

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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.