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Finding the Fourth Proportional to 148,980.20, 205,592.64 and 81,912.20

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Solution

The fourth proportional to 148,980.20, 205,592.64 and 81,912.20 is: 113,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980.20 : 205,592.64 = 81,912.20 : x
  2. Step 2: Convert to fraction form
    148,980.20/205,592.64 = 81,912.20/x
  3. Step 3: Cross multiply
    148,980.20x = 205,592.64 × 81,912.20
  4. Step 4: Simplify right side
    148,980.20x = 16,840,545,446.21
  5. Step 5: Solve for x
    x = 16,840,545,446.21/148,980.20
  6. Step 6: Final answer
    x = 113,038.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.