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Finding the Fourth Proportional to 128,970.57, 177,835.64 and 83,588.97

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Solution

The fourth proportional to 128,970.57, 177,835.64 and 83,588.97 is: 115,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,970.57 : 177,835.64 = 83,588.97 : x
  2. Step 2: Convert to fraction form
    128,970.57/177,835.64 = 83,588.97/x
  3. Step 3: Cross multiply
    128,970.57x = 177,835.64 × 83,588.97
  4. Step 4: Simplify right side
    128,970.57x = 14,865,097,558.95
  5. Step 5: Solve for x
    x = 14,865,097,558.95/128,970.57
  6. Step 6: Final answer
    x = 115,259.61

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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.