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Finding the Fourth Proportional to 81,889.40, 122,807.97 and 31,957.35

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Solution

The fourth proportional to 81,889.40, 122,807.97 and 31,957.35 is: 47,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,889.40 : 122,807.97 = 31,957.35 : x
  2. Step 2: Convert to fraction form
    81,889.40/122,807.97 = 31,957.35/x
  3. Step 3: Cross multiply
    81,889.40x = 122,807.97 × 31,957.35
  4. Step 4: Simplify right side
    81,889.40x = 3,924,617,280.08
  5. Step 5: Solve for x
    x = 3,924,617,280.08/81,889.40
  6. Step 6: Final answer
    x = 47,925.83

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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.