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Finding the Fourth Proportional to 177,731.31, 266,361.16 and 77,782.67

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Solution

The fourth proportional to 177,731.31, 266,361.16 and 77,782.67 is: 116,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,731.31 : 266,361.16 = 77,782.67 : x
  2. Step 2: Convert to fraction form
    177,731.31/266,361.16 = 77,782.67/x
  3. Step 3: Cross multiply
    177,731.31x = 266,361.16 × 77,782.67
  4. Step 4: Simplify right side
    177,731.31x = 20,718,282,209.10
  5. Step 5: Solve for x
    x = 20,718,282,209.10/177,731.31
  6. Step 6: Final answer
    x = 116,570.81

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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.