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Finding the Fourth Proportional to 104,142, 156,260.60 and 56,686

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Solution

The fourth proportional to 104,142, 156,260.60 and 56,686 is: 85,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,142 : 156,260.60 = 56,686 : x
  2. Step 2: Convert to fraction form
    104,142/156,260.60 = 56,686/x
  3. Step 3: Cross multiply
    104,142x = 156,260.60 × 56,686
  4. Step 4: Simplify right side
    104,142x = 8,857,788,371.60
  5. Step 5: Solve for x
    x = 8,857,788,371.60/104,142
  6. Step 6: Final answer
    x = 85,054.91

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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.