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Finding the Fourth Proportional to 125,509.16, 188,291.88 and 42,401

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Solution

The fourth proportional to 125,509.16, 188,291.88 and 42,401 is: 63,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,509.16 : 188,291.88 = 42,401 : x
  2. Step 2: Convert to fraction form
    125,509.16/188,291.88 = 42,401/x
  3. Step 3: Cross multiply
    125,509.16x = 188,291.88 × 42,401
  4. Step 4: Simplify right side
    125,509.16x = 7,983,764,003.88
  5. Step 5: Solve for x
    x = 7,983,764,003.88/125,509.16
  6. Step 6: Final answer
    x = 63,611.01

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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.