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Finding the Fourth Proportional to 218,005.25, 326,703.40 and 105,655.64

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Solution

The fourth proportional to 218,005.25, 326,703.40 and 105,655.64 is: 158,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,005.25 : 326,703.40 = 105,655.64 : x
  2. Step 2: Convert to fraction form
    218,005.25/326,703.40 = 105,655.64/x
  3. Step 3: Cross multiply
    218,005.25x = 326,703.40 × 105,655.64
  4. Step 4: Simplify right side
    218,005.25x = 34,518,057,054.38
  5. Step 5: Solve for x
    x = 34,518,057,054.38/218,005.25
  6. Step 6: Final answer
    x = 158,335.90

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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.