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Finding the Fourth Proportional to 158,147.68, 218,250.30 and 86,533.96

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Solution

The fourth proportional to 158,147.68, 218,250.30 and 86,533.96 is: 119,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,147.68 : 218,250.30 = 86,533.96 : x
  2. Step 2: Convert to fraction form
    158,147.68/218,250.30 = 86,533.96/x
  3. Step 3: Cross multiply
    158,147.68x = 218,250.30 × 86,533.96
  4. Step 4: Simplify right side
    158,147.68x = 18,886,062,730.19
  5. Step 5: Solve for x
    x = 18,886,062,730.19/158,147.68
  6. Step 6: Final answer
    x = 119,420.42

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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.