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Finding the Fourth Proportional to 128,947.84, 177,902.40 and 84,261.76

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Solution

The fourth proportional to 128,947.84, 177,902.40 and 84,261.76 is: 116,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,947.84 : 177,902.40 = 84,261.76 : x
  2. Step 2: Convert to fraction form
    128,947.84/177,902.40 = 84,261.76/x
  3. Step 3: Cross multiply
    128,947.84x = 177,902.40 × 84,261.76
  4. Step 4: Simplify right side
    128,947.84x = 14,990,369,332.22
  5. Step 5: Solve for x
    x = 14,990,369,332.22/128,947.84
  6. Step 6: Final answer
    x = 116,251.42

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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.