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Finding the Fourth Proportional to 142,305.60, 213,462.72 and 48,810

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Solution

The fourth proportional to 142,305.60, 213,462.72 and 48,810 is: 73,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,305.60 : 213,462.72 = 48,810 : x
  2. Step 2: Convert to fraction form
    142,305.60/213,462.72 = 48,810/x
  3. Step 3: Cross multiply
    142,305.60x = 213,462.72 × 48,810
  4. Step 4: Simplify right side
    142,305.60x = 10,419,115,363.20
  5. Step 5: Solve for x
    x = 10,419,115,363.20/142,305.60
  6. Step 6: Final answer
    x = 73,216.48

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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.