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Finding the Fourth Proportional to 125,711.40, 188,567.10 and 111,933.30

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Solution

The fourth proportional to 125,711.40, 188,567.10 and 111,933.30 is: 167,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,711.40 : 188,567.10 = 111,933.30 : x
  2. Step 2: Convert to fraction form
    125,711.40/188,567.10 = 111,933.30/x
  3. Step 3: Cross multiply
    125,711.40x = 188,567.10 × 111,933.30
  4. Step 4: Simplify right side
    125,711.40x = 21,106,937,774.43
  5. Step 5: Solve for x
    x = 21,106,937,774.43/125,711.40
  6. Step 6: Final answer
    x = 167,899.95

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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.