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Finding the Fourth Proportional to 100,160.64, 138,228.35 and 57,721.91

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Solution

The fourth proportional to 100,160.64, 138,228.35 and 57,721.91 is: 79,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,160.64 : 138,228.35 = 57,721.91 : x
  2. Step 2: Convert to fraction form
    100,160.64/138,228.35 = 57,721.91/x
  3. Step 3: Cross multiply
    100,160.64x = 138,228.35 × 57,721.91
  4. Step 4: Simplify right side
    100,160.64x = 7,978,803,398.40
  5. Step 5: Solve for x
    x = 7,978,803,398.40/100,160.64
  6. Step 6: Final answer
    x = 79,660.07

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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.