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Finding the Fourth Proportional to 183,668.40, 253,487.97 and 102,015

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Solution

The fourth proportional to 183,668.40, 253,487.97 and 102,015 is: 140,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,668.40 : 253,487.97 = 102,015 : x
  2. Step 2: Convert to fraction form
    183,668.40/253,487.97 = 102,015/x
  3. Step 3: Cross multiply
    183,668.40x = 253,487.97 × 102,015
  4. Step 4: Simplify right side
    183,668.40x = 25,859,575,259.55
  5. Step 5: Solve for x
    x = 25,859,575,259.55/183,668.40
  6. Step 6: Final answer
    x = 140,794.91

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1.5x scale

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.