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Finding the Fourth Proportional to 102,064.48, 140,841.01 and 56,739.71

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Solution

The fourth proportional to 102,064.48, 140,841.01 and 56,739.71 is: 78,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.48 : 140,841.01 = 56,739.71 : x
  2. Step 2: Convert to fraction form
    102,064.48/140,841.01 = 56,739.71/x
  3. Step 3: Cross multiply
    102,064.48x = 140,841.01 × 56,739.71
  4. Step 4: Simplify right side
    102,064.48x = 7,991,277,359.30
  5. Step 5: Solve for x
    x = 7,991,277,359.30/102,064.48
  6. Step 6: Final answer
    x = 78,296.36

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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.