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Finding the Fourth Proportional to 155,709.98, 214,879.77 and 84,090.02

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Solution

The fourth proportional to 155,709.98, 214,879.77 and 84,090.02 is: 116,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,709.98 : 214,879.77 = 84,090.02 : x
  2. Step 2: Convert to fraction form
    155,709.98/214,879.77 = 84,090.02/x
  3. Step 3: Cross multiply
    155,709.98x = 214,879.77 × 84,090.02
  4. Step 4: Simplify right side
    155,709.98x = 18,069,243,082.50
  5. Step 5: Solve for x
    x = 18,069,243,082.50/155,709.98
  6. Step 6: Final answer
    x = 116,044.22

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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.