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Finding the Fourth Proportional to 142,379.96, 213,464.53 and 86,206.87

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Solution

The fourth proportional to 142,379.96, 213,464.53 and 86,206.87 is: 129,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,379.96 : 213,464.53 = 86,206.87 : x
  2. Step 2: Convert to fraction form
    142,379.96/213,464.53 = 86,206.87/x
  3. Step 3: Cross multiply
    142,379.96x = 213,464.53 × 86,206.87
  4. Step 4: Simplify right side
    142,379.96x = 18,402,108,698.04
  5. Step 5: Solve for x
    x = 18,402,108,698.04/142,379.96
  6. Step 6: Final answer
    x = 129,246.48

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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.