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Finding the Fourth Proportional to 86,657.76, 129,986.64 and 31,253.76

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Solution

The fourth proportional to 86,657.76, 129,986.64 and 31,253.76 is: 46,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,657.76 : 129,986.64 = 31,253.76 : x
  2. Step 2: Convert to fraction form
    86,657.76/129,986.64 = 31,253.76/x
  3. Step 3: Cross multiply
    86,657.76x = 129,986.64 × 31,253.76
  4. Step 4: Simplify right side
    86,657.76x = 4,062,571,249.77
  5. Step 5: Solve for x
    x = 4,062,571,249.77/86,657.76
  6. Step 6: Final answer
    x = 46,880.64

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Similar ratio
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1.5x scale

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.