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Finding the Fourth Proportional to 288,137.50, 432,208.68 and 101,149

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Solution

The fourth proportional to 288,137.50, 432,208.68 and 101,149 is: 151,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,137.50 : 432,208.68 = 101,149 : x
  2. Step 2: Convert to fraction form
    288,137.50/432,208.68 = 101,149/x
  3. Step 3: Cross multiply
    288,137.50x = 432,208.68 × 101,149
  4. Step 4: Simplify right side
    288,137.50x = 43,717,475,773.32
  5. Step 5: Solve for x
    x = 43,717,475,773.32/288,137.50
  6. Step 6: Final answer
    x = 151,724.35

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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.