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Finding the Fourth Proportional to 199,639, 275,470.50 and 114,740.20

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Solution

The fourth proportional to 199,639, 275,470.50 and 114,740.20 is: 158,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,639 : 275,470.50 = 114,740.20 : x
  2. Step 2: Convert to fraction form
    199,639/275,470.50 = 114,740.20/x
  3. Step 3: Cross multiply
    199,639x = 275,470.50 × 114,740.20
  4. Step 4: Simplify right side
    199,639x = 31,607,540,264.10
  5. Step 5: Solve for x
    x = 31,607,540,264.10/199,639
  6. Step 6: Final answer
    x = 158,323.48

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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.