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Finding the Fourth Proportional to 142,429.80, 213,511.05 and 53,742.90

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Solution

The fourth proportional to 142,429.80, 213,511.05 and 53,742.90 is: 80,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,429.80 : 213,511.05 = 53,742.90 : x
  2. Step 2: Convert to fraction form
    142,429.80/213,511.05 = 53,742.90/x
  3. Step 3: Cross multiply
    142,429.80x = 213,511.05 × 53,742.90
  4. Step 4: Simplify right side
    142,429.80x = 11,474,703,009.05
  5. Step 5: Solve for x
    x = 11,474,703,009.05/142,429.80
  6. Step 6: Final answer
    x = 80,563.92

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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.