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Finding the Fourth Proportional to 205,174.60, 307,790.70 and 64,918.60

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Solution

The fourth proportional to 205,174.60, 307,790.70 and 64,918.60 is: 97,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,174.60 : 307,790.70 = 64,918.60 : x
  2. Step 2: Convert to fraction form
    205,174.60/307,790.70 = 64,918.60/x
  3. Step 3: Cross multiply
    205,174.60x = 307,790.70 × 64,918.60
  4. Step 4: Simplify right side
    205,174.60x = 19,981,341,337.02
  5. Step 5: Solve for x
    x = 19,981,341,337.02/205,174.60
  6. Step 6: Final answer
    x = 97,387.01

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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.