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Finding the Fourth Proportional to 153,218.80, 230,015.40 and 86,705.20

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Solution

The fourth proportional to 153,218.80, 230,015.40 and 86,705.20 is: 130,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,218.80 : 230,015.40 = 86,705.20 : x
  2. Step 2: Convert to fraction form
    153,218.80/230,015.40 = 86,705.20/x
  3. Step 3: Cross multiply
    153,218.80x = 230,015.40 × 86,705.20
  4. Step 4: Simplify right side
    153,218.80x = 19,943,531,260.08
  5. Step 5: Solve for x
    x = 19,943,531,260.08/153,218.80
  6. Step 6: Final answer
    x = 130,163.73

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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.