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Finding the Fourth Proportional to 86,429, 129,643.50 and 20,765

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Solution

The fourth proportional to 86,429, 129,643.50 and 20,765 is: 31,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,429 : 129,643.50 = 20,765 : x
  2. Step 2: Convert to fraction form
    86,429/129,643.50 = 20,765/x
  3. Step 3: Cross multiply
    86,429x = 129,643.50 × 20,765
  4. Step 4: Simplify right side
    86,429x = 2,692,047,277.50
  5. Step 5: Solve for x
    x = 2,692,047,277.50/86,429
  6. Step 6: Final answer
    x = 31,147.50

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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.