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Finding the Fourth Proportional to 252,668.72, 348,704.16 and 145,275.68

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Solution

The fourth proportional to 252,668.72, 348,704.16 and 145,275.68 is: 200,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,668.72 : 348,704.16 = 145,275.68 : x
  2. Step 2: Convert to fraction form
    252,668.72/348,704.16 = 145,275.68/x
  3. Step 3: Cross multiply
    252,668.72x = 348,704.16 × 145,275.68
  4. Step 4: Simplify right side
    252,668.72x = 50,658,233,962.83
  5. Step 5: Solve for x
    x = 50,658,233,962.83/252,668.72
  6. Step 6: Final answer
    x = 200,492.70

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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.