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Finding the Fourth Proportional to 188,718.51, 282,787.02 and 87,454.08

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Solution

The fourth proportional to 188,718.51, 282,787.02 and 87,454.08 is: 131,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,718.51 : 282,787.02 = 87,454.08 : x
  2. Step 2: Convert to fraction form
    188,718.51/282,787.02 = 87,454.08/x
  3. Step 3: Cross multiply
    188,718.51x = 282,787.02 × 87,454.08
  4. Step 4: Simplify right side
    188,718.51x = 24,730,878,670.04
  5. Step 5: Solve for x
    x = 24,730,878,670.04/188,718.51
  6. Step 6: Final answer
    x = 131,046.39

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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.