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Finding the Fourth Proportional to 128,566.92, 177,363.42 and 83,259.50

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Solution

The fourth proportional to 128,566.92, 177,363.42 and 83,259.50 is: 114,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,566.92 : 177,363.42 = 83,259.50 : x
  2. Step 2: Convert to fraction form
    128,566.92/177,363.42 = 83,259.50/x
  3. Step 3: Cross multiply
    128,566.92x = 177,363.42 × 83,259.50
  4. Step 4: Simplify right side
    128,566.92x = 14,767,189,667.49
  5. Step 5: Solve for x
    x = 14,767,189,667.49/128,566.92
  6. Step 6: Final answer
    x = 114,859.95

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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.