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Finding the Fourth Proportional to 102,064.66, 140,841.25 and 56,739.88

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Solution

The fourth proportional to 102,064.66, 140,841.25 and 56,739.88 is: 78,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.66 : 140,841.25 = 56,739.88 : x
  2. Step 2: Convert to fraction form
    102,064.66/140,841.25 = 56,739.88/x
  3. Step 3: Cross multiply
    102,064.66x = 140,841.25 × 56,739.88
  4. Step 4: Simplify right side
    102,064.66x = 7,991,315,130.10
  5. Step 5: Solve for x
    x = 7,991,315,130.10/102,064.66
  6. Step 6: Final answer
    x = 78,296.59

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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.