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Finding the Fourth Proportional to 254,889.56, 382,309.65 and 77,398.11

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Solution

The fourth proportional to 254,889.56, 382,309.65 and 77,398.11 is: 116,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,889.56 : 382,309.65 = 77,398.11 : x
  2. Step 2: Convert to fraction form
    254,889.56/382,309.65 = 77,398.11/x
  3. Step 3: Cross multiply
    254,889.56x = 382,309.65 × 77,398.11
  4. Step 4: Simplify right side
    254,889.56x = 29,590,044,344.76
  5. Step 5: Solve for x
    x = 29,590,044,344.76/254,889.56
  6. Step 6: Final answer
    x = 116,089.67

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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.