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Finding the Fourth Proportional to 142,272.40, 213,419.40 and 42,424.78

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Solution

The fourth proportional to 142,272.40, 213,419.40 and 42,424.78 is: 63,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,272.40 : 213,419.40 = 42,424.78 : x
  2. Step 2: Convert to fraction form
    142,272.40/213,419.40 = 42,424.78/x
  3. Step 3: Cross multiply
    142,272.40x = 213,419.40 × 42,424.78
  4. Step 4: Simplify right side
    142,272.40x = 9,054,271,092.73
  5. Step 5: Solve for x
    x = 9,054,271,092.73/142,272.40
  6. Step 6: Final answer
    x = 63,640.39

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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.