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Finding the Fourth Proportional to 257,001.57, 385,455.92 and 69,969.33

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Solution

The fourth proportional to 257,001.57, 385,455.92 and 69,969.33 is: 104,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,001.57 : 385,455.92 = 69,969.33 : x
  2. Step 2: Convert to fraction form
    257,001.57/385,455.92 = 69,969.33/x
  3. Step 3: Cross multiply
    257,001.57x = 385,455.92 × 69,969.33
  4. Step 4: Simplify right side
    257,001.57x = 26,970,092,117.09
  5. Step 5: Solve for x
    x = 26,970,092,117.09/257,001.57
  6. Step 6: Final answer
    x = 104,941.35

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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.