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Finding the Fourth Proportional to 86,255.74, 129,339.86 and 39,468.52

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Solution

The fourth proportional to 86,255.74, 129,339.86 and 39,468.52 is: 59,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,255.74 : 129,339.86 = 39,468.52 : x
  2. Step 2: Convert to fraction form
    86,255.74/129,339.86 = 39,468.52/x
  3. Step 3: Cross multiply
    86,255.74x = 129,339.86 × 39,468.52
  4. Step 4: Simplify right side
    86,255.74x = 5,104,852,421.02
  5. Step 5: Solve for x
    x = 5,104,852,421.02/86,255.74
  6. Step 6: Final answer
    x = 59,182.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.