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Finding the Fourth Proportional to 142,029.90, 213,044.85 and 135,468.90

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Solution

The fourth proportional to 142,029.90, 213,044.85 and 135,468.90 is: 203,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,029.90 : 213,044.85 = 135,468.90 : x
  2. Step 2: Convert to fraction form
    142,029.90/213,044.85 = 135,468.90/x
  3. Step 3: Cross multiply
    142,029.90x = 213,044.85 × 135,468.90
  4. Step 4: Simplify right side
    142,029.90x = 28,860,951,480.17
  5. Step 5: Solve for x
    x = 28,860,951,480.17/142,029.90
  6. Step 6: Final answer
    x = 203,203.35

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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.