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Finding the Fourth Proportional to 149,988, 206,987.76 and 82,924.32

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Solution

The fourth proportional to 149,988, 206,987.76 and 82,924.32 is: 114,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,988 : 206,987.76 = 82,924.32 : x
  2. Step 2: Convert to fraction form
    149,988/206,987.76 = 82,924.32/x
  3. Step 3: Cross multiply
    149,988x = 206,987.76 × 82,924.32
  4. Step 4: Simplify right side
    149,988x = 17,164,319,246.32
  5. Step 5: Solve for x
    x = 17,164,319,246.32/149,988
  6. Step 6: Final answer
    x = 114,437.95

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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.