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Finding the Fourth Proportional to 102,098.64, 140,899.37 and 56,778.54

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Solution

The fourth proportional to 102,098.64, 140,899.37 and 56,778.54 is: 78,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.64 : 140,899.37 = 56,778.54 : x
  2. Step 2: Convert to fraction form
    102,098.64/140,899.37 = 56,778.54/x
  3. Step 3: Cross multiply
    102,098.64x = 140,899.37 × 56,778.54
  4. Step 4: Simplify right side
    102,098.64x = 8,000,059,703.25
  5. Step 5: Solve for x
    x = 8,000,059,703.25/102,098.64
  6. Step 6: Final answer
    x = 78,356.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.