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Finding the Fourth Proportional to 72,952.32, 109,448.32 and 31,390.08

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Solution

The fourth proportional to 72,952.32, 109,448.32 and 31,390.08 is: 47,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,952.32 : 109,448.32 = 31,390.08 : x
  2. Step 2: Convert to fraction form
    72,952.32/109,448.32 = 31,390.08/x
  3. Step 3: Cross multiply
    72,952.32x = 109,448.32 × 31,390.08
  4. Step 4: Simplify right side
    72,952.32x = 3,435,591,520.67
  5. Step 5: Solve for x
    x = 3,435,591,520.67/72,952.32
  6. Step 6: Final answer
    x = 47,093.66

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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.