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Finding the Fourth Proportional to 158,208.51, 218,328.09 and 86,593.14

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Solution

The fourth proportional to 158,208.51, 218,328.09 and 86,593.14 is: 119,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,208.51 : 218,328.09 = 86,593.14 : x
  2. Step 2: Convert to fraction form
    158,208.51/218,328.09 = 86,593.14/x
  3. Step 3: Cross multiply
    158,208.51x = 218,328.09 × 86,593.14
  4. Step 4: Simplify right side
    158,208.51x = 18,905,714,863.30
  5. Step 5: Solve for x
    x = 18,905,714,863.30/158,208.51
  6. Step 6: Final answer
    x = 119,498.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.