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Finding the Fourth Proportional to 83,970.60, 125,810.10 and 70,848.60

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Solution

The fourth proportional to 83,970.60, 125,810.10 and 70,848.60 is: 106,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970.60 : 125,810.10 = 70,848.60 : x
  2. Step 2: Convert to fraction form
    83,970.60/125,810.10 = 70,848.60/x
  3. Step 3: Cross multiply
    83,970.60x = 125,810.10 × 70,848.60
  4. Step 4: Simplify right side
    83,970.60x = 8,913,469,450.86
  5. Step 5: Solve for x
    x = 8,913,469,450.86/83,970.60
  6. Step 6: Final answer
    x = 106,149.88

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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.