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Finding the Fourth Proportional to 128,877.16, 177,814.02 and 83,557

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Solution

The fourth proportional to 128,877.16, 177,814.02 and 83,557 is: 115,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,877.16 : 177,814.02 = 83,557 : x
  2. Step 2: Convert to fraction form
    128,877.16/177,814.02 = 83,557/x
  3. Step 3: Cross multiply
    128,877.16x = 177,814.02 × 83,557
  4. Step 4: Simplify right side
    128,877.16x = 14,857,606,069.14
  5. Step 5: Solve for x
    x = 14,857,606,069.14/128,877.16
  6. Step 6: Final answer
    x = 115,285.02

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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.