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Finding the Fourth Proportional to 289,080.88, 433,647.24 and 78,719.92

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Solution

The fourth proportional to 289,080.88, 433,647.24 and 78,719.92 is: 118,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,080.88 : 433,647.24 = 78,719.92 : x
  2. Step 2: Convert to fraction form
    289,080.88/433,647.24 = 78,719.92/x
  3. Step 3: Cross multiply
    289,080.88x = 433,647.24 × 78,719.92
  4. Step 4: Simplify right side
    289,080.88x = 34,136,676,041.02
  5. Step 5: Solve for x
    x = 34,136,676,041.02/289,080.88
  6. Step 6: Final answer
    x = 118,086.94

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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.