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Finding the Fourth Proportional to 117,969.40, 176,978.67 and 39,089.80

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Solution

The fourth proportional to 117,969.40, 176,978.67 and 39,089.80 is: 58,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,969.40 : 176,978.67 = 39,089.80 : x
  2. Step 2: Convert to fraction form
    117,969.40/176,978.67 = 39,089.80/x
  3. Step 3: Cross multiply
    117,969.40x = 176,978.67 × 39,089.80
  4. Step 4: Simplify right side
    117,969.40x = 6,918,060,814.57
  5. Step 5: Solve for x
    x = 6,918,060,814.57/117,969.40
  6. Step 6: Final answer
    x = 58,642.84

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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.