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Finding the Fourth Proportional to 125,507, 188,289.66 and 42,401

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Solution

The fourth proportional to 125,507, 188,289.66 and 42,401 is: 63,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,507 : 188,289.66 = 42,401 : x
  2. Step 2: Convert to fraction form
    125,507/188,289.66 = 42,401/x
  3. Step 3: Cross multiply
    125,507x = 188,289.66 × 42,401
  4. Step 4: Simplify right side
    125,507x = 7,983,669,873.66
  5. Step 5: Solve for x
    x = 7,983,669,873.66/125,507
  6. Step 6: Final answer
    x = 63,611.35

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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.