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Finding the Fourth Proportional to 125,826.50, 188,768.91 and 42,720.50

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Solution

The fourth proportional to 125,826.50, 188,768.91 and 42,720.50 is: 64,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,826.50 : 188,768.91 = 42,720.50 : x
  2. Step 2: Convert to fraction form
    125,826.50/188,768.91 = 42,720.50/x
  3. Step 3: Cross multiply
    125,826.50x = 188,768.91 × 42,720.50
  4. Step 4: Simplify right side
    125,826.50x = 8,064,302,219.66
  5. Step 5: Solve for x
    x = 8,064,302,219.66/125,826.50
  6. Step 6: Final answer
    x = 64,090.65

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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.