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Finding the Fourth Proportional to 288,135.50, 432,205.68 and 101,147

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Solution

The fourth proportional to 288,135.50, 432,205.68 and 101,147 is: 151,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,135.50 : 432,205.68 = 101,147 : x
  2. Step 2: Convert to fraction form
    288,135.50/432,205.68 = 101,147/x
  3. Step 3: Cross multiply
    288,135.50x = 432,205.68 × 101,147
  4. Step 4: Simplify right side
    288,135.50x = 43,716,307,914.96
  5. Step 5: Solve for x
    x = 43,716,307,914.96/288,135.50
  6. Step 6: Final answer
    x = 151,721.35

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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.