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Finding the Fourth Proportional to 159,076.31, 219,525.86 and 87,460.86

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Solution

The fourth proportional to 159,076.31, 219,525.86 and 87,460.86 is: 120,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,076.31 : 219,525.86 = 87,460.86 : x
  2. Step 2: Convert to fraction form
    159,076.31/219,525.86 = 87,460.86/x
  3. Step 3: Cross multiply
    159,076.31x = 219,525.86 × 87,460.86
  4. Step 4: Simplify right side
    159,076.31x = 19,199,921,549.71
  5. Step 5: Solve for x
    x = 19,199,921,549.71/159,076.31
  6. Step 6: Final answer
    x = 120,696.30

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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.