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Finding the Fourth Proportional to 86,405.64, 129,689.44 and 53,190.57

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Solution

The fourth proportional to 86,405.64, 129,689.44 and 53,190.57 is: 79,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405.64 : 129,689.44 = 53,190.57 : x
  2. Step 2: Convert to fraction form
    86,405.64/129,689.44 = 53,190.57/x
  3. Step 3: Cross multiply
    86,405.64x = 129,689.44 × 53,190.57
  4. Step 4: Simplify right side
    86,405.64x = 6,898,255,814.34
  5. Step 5: Solve for x
    x = 6,898,255,814.34/86,405.64
  6. Step 6: Final answer
    x = 79,835.72

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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.