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Finding the Fourth Proportional to 127,556, 176,027.28 and 74,564

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Solution

The fourth proportional to 127,556, 176,027.28 and 74,564 is: 102,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,556 : 176,027.28 = 74,564 : x
  2. Step 2: Convert to fraction form
    127,556/176,027.28 = 74,564/x
  3. Step 3: Cross multiply
    127,556x = 176,027.28 × 74,564
  4. Step 4: Simplify right side
    127,556x = 13,125,298,105.92
  5. Step 5: Solve for x
    x = 13,125,298,105.92/127,556
  6. Step 6: Final answer
    x = 102,898.32

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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.