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Finding the Fourth Proportional to 196,572, 271,275.12 and 111,692.64

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Solution

The fourth proportional to 196,572, 271,275.12 and 111,692.64 is: 154,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,572 : 271,275.12 = 111,692.64 : x
  2. Step 2: Convert to fraction form
    196,572/271,275.12 = 111,692.64/x
  3. Step 3: Cross multiply
    196,572x = 271,275.12 × 111,692.64
  4. Step 4: Simplify right side
    196,572x = 30,299,434,319.12
  5. Step 5: Solve for x
    x = 30,299,434,319.12/196,572
  6. Step 6: Final answer
    x = 154,139.12

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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.