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Finding the Fourth Proportional to 102,104.34, 140,907.66 and 56,786.96

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Solution

The fourth proportional to 102,104.34, 140,907.66 and 56,786.96 is: 78,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.34 : 140,907.66 = 56,786.96 : x
  2. Step 2: Convert to fraction form
    102,104.34/140,907.66 = 56,786.96/x
  3. Step 3: Cross multiply
    102,104.34x = 140,907.66 × 56,786.96
  4. Step 4: Simplify right side
    102,104.34x = 8,001,717,652.11
  5. Step 5: Solve for x
    x = 8,001,717,652.11/102,104.34
  6. Step 6: Final answer
    x = 78,368.05

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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.