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Finding the Fourth Proportional to 258,089.94, 386,984.25 and 100,133.87

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Solution

The fourth proportional to 258,089.94, 386,984.25 and 100,133.87 is: 150,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,089.94 : 386,984.25 = 100,133.87 : x
  2. Step 2: Convert to fraction form
    258,089.94/386,984.25 = 100,133.87/x
  3. Step 3: Cross multiply
    258,089.94x = 386,984.25 × 100,133.87
  4. Step 4: Simplify right side
    258,089.94x = 38,750,228,646.63
  5. Step 5: Solve for x
    x = 38,750,228,646.63/258,089.94
  6. Step 6: Final answer
    x = 150,142.34

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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.