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Finding the Fourth Proportional to 117,539.80, 176,309.70 and 99,825.10

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Solution

The fourth proportional to 117,539.80, 176,309.70 and 99,825.10 is: 149,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,539.80 : 176,309.70 = 99,825.10 : x
  2. Step 2: Convert to fraction form
    117,539.80/176,309.70 = 99,825.10/x
  3. Step 3: Cross multiply
    117,539.80x = 176,309.70 × 99,825.10
  4. Step 4: Simplify right side
    117,539.80x = 17,600,133,433.47
  5. Step 5: Solve for x
    x = 17,600,133,433.47/117,539.80
  6. Step 6: Final answer
    x = 149,737.65

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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.