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Finding the Fourth Proportional to 255,180.79, 382,826.54 and 77,683.21

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Solution

The fourth proportional to 255,180.79, 382,826.54 and 77,683.21 is: 116,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,180.79 : 382,826.54 = 77,683.21 : x
  2. Step 2: Convert to fraction form
    255,180.79/382,826.54 = 77,683.21/x
  3. Step 3: Cross multiply
    255,180.79x = 382,826.54 × 77,683.21
  4. Step 4: Simplify right side
    255,180.79x = 29,739,194,500.39
  5. Step 5: Solve for x
    x = 29,739,194,500.39/255,180.79
  6. Step 6: Final answer
    x = 116,541.67

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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.