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Finding the Fourth Proportional to 162,004.20, 243,006.30 and 142,977.30

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Solution

The fourth proportional to 162,004.20, 243,006.30 and 142,977.30 is: 214,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,004.20 : 243,006.30 = 142,977.30 : x
  2. Step 2: Convert to fraction form
    162,004.20/243,006.30 = 142,977.30/x
  3. Step 3: Cross multiply
    162,004.20x = 243,006.30 × 142,977.30
  4. Step 4: Simplify right side
    162,004.20x = 34,744,384,656.99
  5. Step 5: Solve for x
    x = 34,744,384,656.99/162,004.20
  6. Step 6: Final answer
    x = 214,465.95

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1.5x scale

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.