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Finding the Fourth Proportional to 238,197.12, 328,714.92 and 136,221

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Solution

The fourth proportional to 238,197.12, 328,714.92 and 136,221 is: 187,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,197.12 : 328,714.92 = 136,221 : x
  2. Step 2: Convert to fraction form
    238,197.12/328,714.92 = 136,221/x
  3. Step 3: Cross multiply
    238,197.12x = 328,714.92 × 136,221
  4. Step 4: Simplify right side
    238,197.12x = 44,777,875,117.32
  5. Step 5: Solve for x
    x = 44,777,875,117.32/238,197.12
  6. Step 6: Final answer
    x = 187,986.64

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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.