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Finding the Fourth Proportional to 288,557.69, 432,858.30 and 86,137.81

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Solution

The fourth proportional to 288,557.69, 432,858.30 and 86,137.81 is: 129,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,557.69 : 432,858.30 = 86,137.81 : x
  2. Step 2: Convert to fraction form
    288,557.69/432,858.30 = 86,137.81/x
  3. Step 3: Cross multiply
    288,557.69x = 432,858.30 × 86,137.81
  4. Step 4: Simplify right side
    288,557.69x = 37,285,466,220.38
  5. Step 5: Solve for x
    x = 37,285,466,220.38/288,557.69
  6. Step 6: Final answer
    x = 129,213.21

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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.