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Finding the Fourth Proportional to 288,105.54, 432,158.30 and 77,743.48

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Solution

The fourth proportional to 288,105.54, 432,158.30 and 77,743.48 is: 116,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,105.54 : 432,158.30 = 77,743.48 : x
  2. Step 2: Convert to fraction form
    288,105.54/432,158.30 = 77,743.48/x
  3. Step 3: Cross multiply
    288,105.54x = 432,158.30 × 77,743.48
  4. Step 4: Simplify right side
    288,105.54x = 33,597,490,152.88
  5. Step 5: Solve for x
    x = 33,597,490,152.88/288,105.54
  6. Step 6: Final answer
    x = 116,615.22

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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.