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Finding the Fourth Proportional to 255,668.74, 352,834.87 and 142,492.30

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Solution

The fourth proportional to 255,668.74, 352,834.87 and 142,492.30 is: 196,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,668.74 : 352,834.87 = 142,492.30 : x
  2. Step 2: Convert to fraction form
    255,668.74/352,834.87 = 142,492.30/x
  3. Step 3: Cross multiply
    255,668.74x = 352,834.87 × 142,492.30
  4. Step 4: Simplify right side
    255,668.74x = 50,276,250,026.10
  5. Step 5: Solve for x
    x = 50,276,250,026.10/255,668.74
  6. Step 6: Final answer
    x = 196,646.06

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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.