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Finding the Fourth Proportional to 289,375.74, 434,086.05 and 86,956.04

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Solution

The fourth proportional to 289,375.74, 434,086.05 and 86,956.04 is: 130,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,375.74 : 434,086.05 = 86,956.04 : x
  2. Step 2: Convert to fraction form
    289,375.74/434,086.05 = 86,956.04/x
  3. Step 3: Cross multiply
    289,375.74x = 434,086.05 × 86,956.04
  4. Step 4: Simplify right side
    289,375.74x = 37,746,403,927.24
  5. Step 5: Solve for x
    x = 37,746,403,927.24/289,375.74
  6. Step 6: Final answer
    x = 130,440.80

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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.