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Finding the Fourth Proportional to 108,291.66, 162,412.86 and 52,103.10

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Solution

The fourth proportional to 108,291.66, 162,412.86 and 52,103.10 is: 78,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,291.66 : 162,412.86 = 52,103.10 : x
  2. Step 2: Convert to fraction form
    108,291.66/162,412.86 = 52,103.10/x
  3. Step 3: Cross multiply
    108,291.66x = 162,412.86 × 52,103.10
  4. Step 4: Simplify right side
    108,291.66x = 8,462,213,485.87
  5. Step 5: Solve for x
    x = 8,462,213,485.87/108,291.66
  6. Step 6: Final answer
    x = 78,142.80

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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.