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Finding the Fourth Proportional to 159,031.13, 219,460.13 and 87,411.14

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Solution

The fourth proportional to 159,031.13, 219,460.13 and 87,411.14 is: 120,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,031.13 : 219,460.13 = 87,411.14 : x
  2. Step 2: Convert to fraction form
    159,031.13/219,460.13 = 87,411.14/x
  3. Step 3: Cross multiply
    159,031.13x = 219,460.13 × 87,411.14
  4. Step 4: Simplify right side
    159,031.13x = 19,183,258,613.49
  5. Step 5: Solve for x
    x = 19,183,258,613.49/159,031.13
  6. Step 6: Final answer
    x = 120,625.81

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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.