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Finding the Fourth Proportional to 102,915.90, 154,124.71 and 71,237.21

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Solution

The fourth proportional to 102,915.90, 154,124.71 and 71,237.21 is: 106,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,915.90 : 154,124.71 = 71,237.21 : x
  2. Step 2: Convert to fraction form
    102,915.90/154,124.71 = 71,237.21/x
  3. Step 3: Cross multiply
    102,915.90x = 154,124.71 × 71,237.21
  4. Step 4: Simplify right side
    102,915.90x = 10,979,413,383.74
  5. Step 5: Solve for x
    x = 10,979,413,383.74/102,915.90
  6. Step 6: Final answer
    x = 106,683.35

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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.