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Finding the Fourth Proportional to 288,096.54, 432,144.80 and 77,734.47

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Solution

The fourth proportional to 288,096.54, 432,144.80 and 77,734.47 is: 116,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,096.54 : 432,144.80 = 77,734.47 : x
  2. Step 2: Convert to fraction form
    288,096.54/432,144.80 = 77,734.47/x
  3. Step 3: Cross multiply
    288,096.54x = 432,144.80 × 77,734.47
  4. Step 4: Simplify right side
    288,096.54x = 33,592,546,991.26
  5. Step 5: Solve for x
    x = 33,592,546,991.26/288,096.54
  6. Step 6: Final answer
    x = 116,601.70

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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.