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Finding the Fourth Proportional to 125,970.84, 189,021.87 and 55,833.75

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Solution

The fourth proportional to 125,970.84, 189,021.87 and 55,833.75 is: 83,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,970.84 : 189,021.87 = 55,833.75 : x
  2. Step 2: Convert to fraction form
    125,970.84/189,021.87 = 55,833.75/x
  3. Step 3: Cross multiply
    125,970.84x = 189,021.87 × 55,833.75
  4. Step 4: Simplify right side
    125,970.84x = 10,553,799,834.11
  5. Step 5: Solve for x
    x = 10,553,799,834.11/125,970.84
  6. Step 6: Final answer
    x = 83,779.71

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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.