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Finding the Fourth Proportional to 86,453.57, 129,710.86 and 30,309.32

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Solution

The fourth proportional to 86,453.57, 129,710.86 and 30,309.32 is: 45,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,453.57 : 129,710.86 = 30,309.32 : x
  2. Step 2: Convert to fraction form
    86,453.57/129,710.86 = 30,309.32/x
  3. Step 3: Cross multiply
    86,453.57x = 129,710.86 × 30,309.32
  4. Step 4: Simplify right side
    86,453.57x = 3,931,447,963.22
  5. Step 5: Solve for x
    x = 3,931,447,963.22/86,453.57
  6. Step 6: Final answer
    x = 45,474.67

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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.