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Finding the Fourth Proportional to 127,086.63, 175,384.22 and 76,775.91

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Solution

The fourth proportional to 127,086.63, 175,384.22 and 76,775.91 is: 105,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,086.63 : 175,384.22 = 76,775.91 : x
  2. Step 2: Convert to fraction form
    127,086.63/175,384.22 = 76,775.91/x
  3. Step 3: Cross multiply
    127,086.63x = 175,384.22 × 76,775.91
  4. Step 4: Simplify right side
    127,086.63x = 13,465,282,706.26
  5. Step 5: Solve for x
    x = 13,465,282,706.26/127,086.63
  6. Step 6: Final answer
    x = 105,953.57

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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.