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Finding the Fourth Proportional to 142,283.21, 213,424.76 and 42,513.41

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Solution

The fourth proportional to 142,283.21, 213,424.76 and 42,513.41 is: 63,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,283.21 : 213,424.76 = 42,513.41 : x
  2. Step 2: Convert to fraction form
    142,283.21/213,424.76 = 42,513.41/x
  3. Step 3: Cross multiply
    142,283.21x = 213,424.76 × 42,513.41
  4. Step 4: Simplify right side
    142,283.21x = 9,073,413,046.34
  5. Step 5: Solve for x
    x = 9,073,413,046.34/142,283.21
  6. Step 6: Final answer
    x = 63,770.09

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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.