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Finding the Fourth Proportional to 215,926.47, 297,978.93 and 120,439.35

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Solution

The fourth proportional to 215,926.47, 297,978.93 and 120,439.35 is: 166,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,926.47 : 297,978.93 = 120,439.35 : x
  2. Step 2: Convert to fraction form
    215,926.47/297,978.93 = 120,439.35/x
  3. Step 3: Cross multiply
    215,926.47x = 297,978.93 × 120,439.35
  4. Step 4: Simplify right side
    215,926.47x = 35,888,388,642.90
  5. Step 5: Solve for x
    x = 35,888,388,642.90/215,926.47
  6. Step 6: Final answer
    x = 166,206.53

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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.