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Finding the Fourth Proportional to 102,064.54, 140,841.08 and 56,739.76

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Solution

The fourth proportional to 102,064.54, 140,841.08 and 56,739.76 is: 78,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.54 : 140,841.08 = 56,739.76 : x
  2. Step 2: Convert to fraction form
    102,064.54/140,841.08 = 56,739.76/x
  3. Step 3: Cross multiply
    102,064.54x = 140,841.08 × 56,739.76
  4. Step 4: Simplify right side
    102,064.54x = 7,991,288,373.14
  5. Step 5: Solve for x
    x = 7,991,288,373.14/102,064.54
  6. Step 6: Final answer
    x = 78,296.43

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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.