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Finding the Fourth Proportional to 163,787.50, 245,418 and 137,543.50

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Solution

The fourth proportional to 163,787.50, 245,418 and 137,543.50 is: 206,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,787.50 : 245,418 = 137,543.50 : x
  2. Step 2: Convert to fraction form
    163,787.50/245,418 = 137,543.50/x
  3. Step 3: Cross multiply
    163,787.50x = 245,418 × 137,543.50
  4. Step 4: Simplify right side
    163,787.50x = 33,755,650,683
  5. Step 5: Solve for x
    x = 33,755,650,683/163,787.50
  6. Step 6: Final answer
    x = 206,094.18

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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.