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Finding the Fourth Proportional to 251,059, 346,492.14 and 145,075

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Solution

The fourth proportional to 251,059, 346,492.14 and 145,075 is: 200,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,059 : 346,492.14 = 145,075 : x
  2. Step 2: Convert to fraction form
    251,059/346,492.14 = 145,075/x
  3. Step 3: Cross multiply
    251,059x = 346,492.14 × 145,075
  4. Step 4: Simplify right side
    251,059x = 50,267,347,210.50
  5. Step 5: Solve for x
    x = 50,267,347,210.50/251,059
  6. Step 6: Final answer
    x = 200,221.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.