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Finding the Fourth Proportional to 199,822, 275,762.28 and 114,938.96

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Solution

The fourth proportional to 199,822, 275,762.28 and 114,938.96 is: 158,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,822 : 275,762.28 = 114,938.96 : x
  2. Step 2: Convert to fraction form
    199,822/275,762.28 = 114,938.96/x
  3. Step 3: Cross multiply
    199,822x = 275,762.28 × 114,938.96
  4. Step 4: Simplify right side
    199,822x = 31,695,829,670.43
  5. Step 5: Solve for x
    x = 31,695,829,670.43/199,822
  6. Step 6: Final answer
    x = 158,620.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.