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Finding the Fourth Proportional to 145,638, 218,081.16 and 86,514.48

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Solution

The fourth proportional to 145,638, 218,081.16 and 86,514.48 is: 129,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,638 : 218,081.16 = 86,514.48 : x
  2. Step 2: Convert to fraction form
    145,638/218,081.16 = 86,514.48/x
  3. Step 3: Cross multiply
    145,638x = 218,081.16 × 86,514.48
  4. Step 4: Simplify right side
    145,638x = 18,867,178,155.20
  5. Step 5: Solve for x
    x = 18,867,178,155.20/145,638
  6. Step 6: Final answer
    x = 129,548.46

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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.