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Finding the Fourth Proportional to 86,969.25, 130,453.92 and 21,305.25

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Solution

The fourth proportional to 86,969.25, 130,453.92 and 21,305.25 is: 31,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,969.25 : 130,453.92 = 21,305.25 : x
  2. Step 2: Convert to fraction form
    86,969.25/130,453.92 = 21,305.25/x
  3. Step 3: Cross multiply
    86,969.25x = 130,453.92 × 21,305.25
  4. Step 4: Simplify right side
    86,969.25x = 2,779,353,379.08
  5. Step 5: Solve for x
    x = 2,779,353,379.08/86,969.25
  6. Step 6: Final answer
    x = 31,957.89

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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.