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Finding the Fourth Proportional to 128,871.48, 177,784.38 and 83,560.94

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Solution

The fourth proportional to 128,871.48, 177,784.38 and 83,560.94 is: 115,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,871.48 : 177,784.38 = 83,560.94 : x
  2. Step 2: Convert to fraction form
    128,871.48/177,784.38 = 83,560.94/x
  3. Step 3: Cross multiply
    128,871.48x = 177,784.38 × 83,560.94
  4. Step 4: Simplify right side
    128,871.48x = 14,855,829,021.20
  5. Step 5: Solve for x
    x = 14,855,829,021.20/128,871.48
  6. Step 6: Final answer
    x = 115,276.31

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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.