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Finding the Fourth Proportional to 159,029.76, 219,462.74 and 86,432.64

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Solution

The fourth proportional to 159,029.76, 219,462.74 and 86,432.64 is: 119,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.76 : 219,462.74 = 86,432.64 : x
  2. Step 2: Convert to fraction form
    159,029.76/219,462.74 = 86,432.64/x
  3. Step 3: Cross multiply
    159,029.76x = 219,462.74 × 86,432.64
  4. Step 4: Simplify right side
    159,029.76x = 18,968,743,999.83
  5. Step 5: Solve for x
    x = 18,968,743,999.83/159,029.76
  6. Step 6: Final answer
    x = 119,277.95

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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.