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Finding the Fourth Proportional to 119,018.20, 164,239.62 and 65,301.88

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Solution

The fourth proportional to 119,018.20, 164,239.62 and 65,301.88 is: 90,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,018.20 : 164,239.62 = 65,301.88 : x
  2. Step 2: Convert to fraction form
    119,018.20/164,239.62 = 65,301.88/x
  3. Step 3: Cross multiply
    119,018.20x = 164,239.62 × 65,301.88
  4. Step 4: Simplify right side
    119,018.20x = 10,725,155,956.49
  5. Step 5: Solve for x
    x = 10,725,155,956.49/119,018.20
  6. Step 6: Final answer
    x = 90,113.58

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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.