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Finding the Fourth Proportional to 158,257, 218,395.14 and 86,637.64

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Solution

The fourth proportional to 158,257, 218,395.14 and 86,637.64 is: 119,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,257 : 218,395.14 = 86,637.64 : x
  2. Step 2: Convert to fraction form
    158,257/218,395.14 = 86,637.64/x
  3. Step 3: Cross multiply
    158,257x = 218,395.14 × 86,637.64
  4. Step 4: Simplify right side
    158,257x = 18,921,239,517.07
  5. Step 5: Solve for x
    x = 18,921,239,517.07/158,257
  6. Step 6: Final answer
    x = 119,560.21

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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.