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Finding the Fourth Proportional to 128,098.17, 192,264.45 and 64,961.88

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Solution

The fourth proportional to 128,098.17, 192,264.45 and 64,961.88 is: 97,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,098.17 : 192,264.45 = 64,961.88 : x
  2. Step 2: Convert to fraction form
    128,098.17/192,264.45 = 64,961.88/x
  3. Step 3: Cross multiply
    128,098.17x = 192,264.45 × 64,961.88
  4. Step 4: Simplify right side
    128,098.17x = 12,489,859,167.84
  5. Step 5: Solve for x
    x = 12,489,859,167.84/128,098.17
  6. Step 6: Final answer
    x = 97,502.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.