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Finding the Fourth Proportional to 128,073, 192,124.08 and 65,758.08

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Solution

The fourth proportional to 128,073, 192,124.08 and 65,758.08 is: 98,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,073 : 192,124.08 = 65,758.08 : x
  2. Step 2: Convert to fraction form
    128,073/192,124.08 = 65,758.08/x
  3. Step 3: Cross multiply
    128,073x = 192,124.08 × 65,758.08
  4. Step 4: Simplify right side
    128,073x = 12,633,710,622.57
  5. Step 5: Solve for x
    x = 12,633,710,622.57/128,073
  6. Step 6: Final answer
    x = 98,644.61

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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.