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Finding the Fourth Proportional to 142,209.54, 213,424.47 and 53,543.70

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Solution

The fourth proportional to 142,209.54, 213,424.47 and 53,543.70 is: 80,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,209.54 : 213,424.47 = 53,543.70 : x
  2. Step 2: Convert to fraction form
    142,209.54/213,424.47 = 53,543.70/x
  3. Step 3: Cross multiply
    142,209.54x = 213,424.47 × 53,543.70
  4. Step 4: Simplify right side
    142,209.54x = 11,427,535,794.34
  5. Step 5: Solve for x
    x = 11,427,535,794.34/142,209.54
  6. Step 6: Final answer
    x = 80,357.03

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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.