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Finding the Fourth Proportional to 72,922.80, 109,384.20 and 31,369.80

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Solution

The fourth proportional to 72,922.80, 109,384.20 and 31,369.80 is: 47,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922.80 : 109,384.20 = 31,369.80 : x
  2. Step 2: Convert to fraction form
    72,922.80/109,384.20 = 31,369.80/x
  3. Step 3: Cross multiply
    72,922.80x = 109,384.20 × 31,369.80
  4. Step 4: Simplify right side
    72,922.80x = 3,431,360,477.16
  5. Step 5: Solve for x
    x = 3,431,360,477.16/72,922.80
  6. Step 6: Final answer
    x = 47,054.70

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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.