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Finding the Fourth Proportional to 142,107.54, 211,926.14 and 140,200.76

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Solution

The fourth proportional to 142,107.54, 211,926.14 and 140,200.76 is: 209,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,107.54 : 211,926.14 = 140,200.76 : x
  2. Step 2: Convert to fraction form
    142,107.54/211,926.14 = 140,200.76/x
  3. Step 3: Cross multiply
    142,107.54x = 211,926.14 × 140,200.76
  4. Step 4: Simplify right side
    142,107.54x = 29,712,204,131.23
  5. Step 5: Solve for x
    x = 29,712,204,131.23/142,107.54
  6. Step 6: Final answer
    x = 209,082.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.