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Finding the Fourth Proportional to 142,765.08, 213,914.01 and 86,434.47

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Solution

The fourth proportional to 142,765.08, 213,914.01 and 86,434.47 is: 129,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.08 : 213,914.01 = 86,434.47 : x
  2. Step 2: Convert to fraction form
    142,765.08/213,914.01 = 86,434.47/x
  3. Step 3: Cross multiply
    142,765.08x = 213,914.01 × 86,434.47
  4. Step 4: Simplify right side
    142,765.08x = 18,489,544,079.92
  5. Step 5: Solve for x
    x = 18,489,544,079.92/142,765.08
  6. Step 6: Final answer
    x = 129,510.27

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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.