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Finding the Fourth Proportional to 83,438.46, 125,150.40 and 30,848.40

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Solution

The fourth proportional to 83,438.46, 125,150.40 and 30,848.40 is: 46,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,438.46 : 125,150.40 = 30,848.40 : x
  2. Step 2: Convert to fraction form
    83,438.46/125,150.40 = 30,848.40/x
  3. Step 3: Cross multiply
    83,438.46x = 125,150.40 × 30,848.40
  4. Step 4: Simplify right side
    83,438.46x = 3,860,689,599.36
  5. Step 5: Solve for x
    x = 3,860,689,599.36/83,438.46
  6. Step 6: Final answer
    x = 46,269.90

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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.