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Finding the Fourth Proportional to 134,572.72, 185,710.92 and 77,214.32

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Solution

The fourth proportional to 134,572.72, 185,710.92 and 77,214.32 is: 106,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,572.72 : 185,710.92 = 77,214.32 : x
  2. Step 2: Convert to fraction form
    134,572.72/185,710.92 = 77,214.32/x
  3. Step 3: Cross multiply
    134,572.72x = 185,710.92 × 77,214.32
  4. Step 4: Simplify right side
    134,572.72x = 14,339,542,404.37
  5. Step 5: Solve for x
    x = 14,339,542,404.37/134,572.72
  6. Step 6: Final answer
    x = 106,556.09

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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.