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Finding the Fourth Proportional to 134,514, 185,680.08 and 105,758.64

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Solution

The fourth proportional to 134,514, 185,680.08 and 105,758.64 is: 145,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,514 : 185,680.08 = 105,758.64 : x
  2. Step 2: Convert to fraction form
    134,514/185,680.08 = 105,758.64/x
  3. Step 3: Cross multiply
    134,514x = 185,680.08 × 105,758.64
  4. Step 4: Simplify right side
    134,514x = 19,637,272,735.89
  5. Step 5: Solve for x
    x = 19,637,272,735.89/134,514
  6. Step 6: Final answer
    x = 145,986.83

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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.