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Finding the Fourth Proportional to 145,288.49, 218,260.80 and 86,162.94

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Solution

The fourth proportional to 145,288.49, 218,260.80 and 86,162.94 is: 129,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,288.49 : 218,260.80 = 86,162.94 : x
  2. Step 2: Convert to fraction form
    145,288.49/218,260.80 = 86,162.94/x
  3. Step 3: Cross multiply
    145,288.49x = 218,260.80 × 86,162.94
  4. Step 4: Simplify right side
    145,288.49x = 18,805,992,214.75
  5. Step 5: Solve for x
    x = 18,805,992,214.75/145,288.49
  6. Step 6: Final answer
    x = 129,438.97

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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.