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Finding the Fourth Proportional to 161,980.30, 243,044.29 and 83,149.93

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Solution

The fourth proportional to 161,980.30, 243,044.29 and 83,149.93 is: 124,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,980.30 : 243,044.29 = 83,149.93 : x
  2. Step 2: Convert to fraction form
    161,980.30/243,044.29 = 83,149.93/x
  3. Step 3: Cross multiply
    161,980.30x = 243,044.29 × 83,149.93
  4. Step 4: Simplify right side
    161,980.30x = 20,209,115,196.73
  5. Step 5: Solve for x
    x = 20,209,115,196.73/161,980.30
  6. Step 6: Final answer
    x = 124,762.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.